610902864 has 480 divisors, whose sum is σ = 2216524800. Its totient is φ = 159667200.

The previous prime is 610902847. The next prime is 610902883. The reversal of 610902864 is 468209016.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19706529 + ... + 19706559.

It is an arithmetic number, because the mean of its divisors is an integer number (4617760).

Almost surely, 2^610902864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 610902864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108262400).

610902864 is an abundant number, since it is smaller than the sum of its proper divisors (1605621936).

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

610902864 is a wasteful number, since it uses less digits than its factorization.

610902864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 610902864 is about 24716.4492595518. The cubic root of 610902864 is about 848.5108245960.

The spelling of 610902864 in words is "six hundred ten million, nine hundred two thousand, eight hundred sixty-four".