1600640 has 64 divisors (see below), whose sum is σ = 3984120. Its totient is φ = 614400.

The previous prime is 1600637. The next prime is 1600649. The reversal of 1600640 is 460061.

It can be written as a sum of positive squares in 4 ways, for example, as 399424 + 1201216 = 632^2 + 1096^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1600649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26210 + ... + 26270.

2^1600640 is an apocalyptic number.

1600640 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 1600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992060).

1600640 is an abundant number, since it is smaller than the sum of its proper divisors (2383480).

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

1600640 is an equidigital number, since it uses as much as digits as its factorization.

1600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1600640 is about 1265.1640209870. The cubic root of 1600640 is about 116.9763022109.

The spelling of 1600640 in words is "one million, six hundred thousand, six hundred forty".