1606394880 has 264 divisors, whose sum is σ = 5656008384. Its totient is φ = 421478400.

The previous prime is 1606394879. The next prime is 1606394887. The reversal of 1606394880 is 884936061.

1606394880 is a `hidden beast` number, since 1 + 6 + 0 + 639 + 4 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1606394887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3271435 + ... + 3271925.

Almost surely, 2^1606394880 is an apocalyptic number.

1606394880 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 1606394880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828004192).

1606394880 is an abundant number, since it is smaller than the sum of its proper divisors (4049613504).

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

1606394880 is a wasteful number, since it uses less digits than its factorization.

1606394880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1606394880 is about 40079.8562871675. The cubic root of 1606394880 is about 1171.1632524527.

The spelling of 1606394880 in words is "one billion, six hundred six million, three hundred ninety-four thousand, eight hundred eighty".