86645628 has 72 divisors (see below), whose sum is σ = 229320000. Its totient is φ = 27555840.

The previous prime is 86645597. The next prime is 86645641. The reversal of 86645628 is 82654668.

86645628 is a `hidden beast` number, since 86 + 6 + 4 + 562 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68748 + ... + 69996.

It is an arithmetic number, because the mean of its divisors is an integer number (3185000).

Almost surely, 2^86645628 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 86645628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114660000).

86645628 is an abundant number, since it is smaller than the sum of its proper divisors (142674372).

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

86645628 is a wasteful number, since it uses less digits than its factorization.

86645628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1342 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 86645628 is about 9308.3633362692. The cubic root of 86645628 is about 442.5023192448.

The spelling of 86645628 in words is "eighty-six million, six hundred forty-five thousand, six hundred twenty-eight".