1600640064 has 63 divisors (see below), whose sum is σ = 4590699607. Its totient is φ = 533226624.

The previous prime is 1600640053. The next prime is 1600640077. The reversal of 1600640064 is 4600460061.

The square root of 1600640064 is 40008.

It is a perfect power (a square), and thus also a powerful number.

1600640064 is a `hidden beast` number, since 16 + 0 + 0 + 640 + 0 + 6 + 4 = 666.

It is a super-2 number, since 2×1600640064² = 5124097228963848192, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 959359 + ... + 961025.

Almost surely, 2^1600640064 is an apocalyptic number.

1600640064 is the 40008-th square number.

It is an amenable number.

1600640064 is an abundant number, since it is smaller than the sum of its proper divisors (2990059543).

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

1600640064 is an frugal number, since it uses more digits than its factorization.

1600640064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3352 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The cubic root of 1600640064 is about 1169.7630377001.

The spelling of 1600640064 in words is "one billion, six hundred million, six hundred forty thousand, sixty-four".