1600644864 has 288 divisors, whose sum is σ = 5393543680. Its totient is φ = 410075136.

The previous prime is 1600644769. The next prime is 1600644883. The reversal of 1600644864 is 4684460061.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2585547 + ... + 2586165.

Almost surely, 2^1600644864 is an apocalyptic number.

1600644864 is a gapful number since it is divisible by the number (14) 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 1600644864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696771840).

1600644864 is an abundant number, since it is smaller than the sum of its proper divisors (3792898816).

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

1600644864 is a wasteful number, since it uses less digits than its factorization.

1600644864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 1600644864 is about 40008.0599879574. The cubic root of 1600644864 is about 1169.7642069942.

The spelling of 1600644864 in words is "one billion, six hundred million, six hundred forty-four thousand, eight hundred sixty-four".