859983264 has 96 divisors (see below), whose sum is σ = 2866631040. Its totient is φ = 245707776.

The previous prime is 859983259. The next prime is 859983269. The reversal of 859983264 is 462389958.

It is an interprime number because it is at equal distance from previous prime (859983259) and next prime (859983269).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 859983264.

It is not an unprimeable number, because it can be changed into a prime (859983269) 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, 65049 + ... + 77144.

It is an arithmetic number, because the mean of its divisors is an integer number (29860740).

Almost surely, 2^859983264 is an apocalyptic number.

859983264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

859983264 is an abundant number, since it is smaller than the sum of its proper divisors (2006647776).

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

859983264 is a wasteful number, since it uses less digits than its factorization.

859983264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142219 (or 142205 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 859983264 is about 29325.4712494105. The cubic root of 859983264 is about 950.9623725024.

The spelling of 859983264 in words is "eight hundred fifty-nine million, nine hundred eighty-three thousand, two hundred sixty-four".