870636312 has 288 divisors, whose sum is σ = 3032527680. Its totient is φ = 223534080.

The previous prime is 870636311. The next prime is 870636337. The reversal of 870636312 is 213636078.

It is a happy number.

870636312 is a `hidden beast` number, since 8 + 7 + 0 + 636 + 3 + 12 = 666.

It is a super-2 number, since 2×870636312² = 1516015175545922688, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870636311) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1880193 + ... + 1880655.

It is an arithmetic number, because the mean of its divisors is an integer number (10529610).

Almost surely, 2^870636312 is an apocalyptic number.

870636312 is a gapful number since it is divisible by the number (82) 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 870636312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516263840).

870636312 is an abundant number, since it is smaller than the sum of its proper divisors (2161891368).

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

870636312 is a wasteful number, since it uses less digits than its factorization.

870636312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 870636312 is about 29506.5469345364. The cubic root of 870636312 is about 954.8729533213.

The spelling of 870636312 in words is "eight hundred seventy million, six hundred thirty-six thousand, three hundred twelve".