86628756 has 48 divisors (see below), whose sum is σ = 212244480. Its totient is φ = 27464160.

The previous prime is 86628743. The next prime is 86628757. The reversal of 86628756 is 65782668.

It is a super-2 number, since 2×86628756² = 15009082732215072, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86628757) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19975 + ... + 23921.

It is an arithmetic number, because the mean of its divisors is an integer number (4421760).

Almost surely, 2^86628756 is an apocalyptic number.

It is an amenable number.

86628756 is an abundant number, since it is smaller than the sum of its proper divisors (125615724).

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

86628756 is a wasteful number, since it uses less digits than its factorization.

86628756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4044 (or 4042 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 86628756 is about 9307.4570103761. The cubic root of 86628756 is about 442.4735954113.

The spelling of 86628756 in words is "eighty-six million, six hundred twenty-eight thousand, seven hundred fifty-six".