1606832640 has 640 divisors, whose sum is σ = 6764567040. Its totient is φ = 358318080.

The previous prime is 1606832627. The next prime is 1606832657. The reversal of 1606832640 is 462386061.

1606832640 is a `hidden beast` number, since 1 + 6 + 0 + 6 + 8 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×1606832640² = 5163822265938739200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1606832595 and 1606832604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39191020 + ... + 39191060.

It is an arithmetic number, because the mean of its divisors is an integer number (10569636).

It is a vampire number, since it can be written as 23616 ⋅ 68040 (with its own digits).

Almost surely, 2^1606832640 is an apocalyptic number.

1606832640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1606832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3382283520).

1606832640 is an abundant number, since it is smaller than the sum of its proper divisors (5157734400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1606832640 is an frugal number, since it uses more digits than its factorization.

1606832640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1606832640 is about 40085.3170125920. The cubic root of 1606832640 is about 1171.2696276800.

The spelling of 1606832640 in words is "one billion, six hundred six million, eight hundred thirty-two thousand, six hundred forty".