870675672 has 256 divisors, whose sum is σ = 2577899520. Its totient is φ = 243302400.

The previous prime is 870675647. The next prime is 870675683. The reversal of 870675672 is 276576078.

It is a super-2 number, since 2×870675672² = 1516152251625303168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11927028 + ... + 11927100.

It is an arithmetic number, because the mean of its divisors is an integer number (10069920).

Almost surely, 2^870675672 is an apocalyptic number.

870675672 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 870675672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288949760).

870675672 is an abundant number, since it is smaller than the sum of its proper divisors (1707223848).

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

870675672 is a wasteful number, since it uses less digits than its factorization.

870675672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 48.

The square root of 870675672 is about 29507.2138976217. The cubic root of 870675672 is about 954.8873425033.

The spelling of 870675672 in words is "eight hundred seventy million, six hundred seventy-five thousand, six hundred seventy-two".