864057936 has 80 divisors (see below), whose sum is σ = 2575898624. Its totient is φ = 244467072.

The previous prime is 864057923. The next prime is 864057937. The reversal of 864057936 is 639750468.

It is a super-2 number, since 2×864057936² = 1493192233529160192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864057937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22125 + ... + 47091.

Almost surely, 2^864057936 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 864057936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287949312).

864057936 is an abundant number, since it is smaller than the sum of its proper divisors (1711840688).

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

864057936 is a wasteful number, since it uses less digits than its factorization.

864057936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25088 (or 25082 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 864057936 is about 29394.8624082509. The cubic root of 864057936 is about 952.4619195170.

The spelling of 864057936 in words is "eight hundred sixty-four million, fifty-seven thousand, nine hundred thirty-six".