865624968 has 160 divisors (see below), whose sum is σ = 2628816960. Its totient is φ = 264539520.

The previous prime is 865624957. The next prime is 865625003. The reversal of 865624968 is 869426568.

It is a happy number.

865624968 is a `hidden beast` number, since 8 + 6 + 5 + 624 + 9 + 6 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1777221 + ... + 1777707.

It is an arithmetic number, because the mean of its divisors is an integer number (16430106).

Almost surely, 2^865624968 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 865624968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314408480).

865624968 is an abundant number, since it is smaller than the sum of its proper divisors (1763191992).

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

865624968 is a wasteful number, since it uses less digits than its factorization.

865624968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 716 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 865624968 is about 29421.5051960297. The cubic root of 865624968 is about 953.0373581447.

The spelling of 865624968 in words is "eight hundred sixty-five million, six hundred twenty-four thousand, nine hundred sixty-eight".