86577152 has 52 divisors (see below), whose sum is σ = 180857280. Its totient is φ = 41361408.

The previous prime is 86577121. The next prime is 86577163. The reversal of 86577152 is 25177568.

It is a super-2 number, since 2×86577152² = 14991206496862208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 93749 + ... + 94667.

Almost surely, 2^86577152 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 86577152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90428640).

86577152 is an abundant number, since it is smaller than the sum of its proper divisors (94280128).

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

86577152 is an equidigital number, since it uses as much as digits as its factorization.

86577152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 944 counting only the distinct ones).

The product of its digits is 117600, while the sum is 41.

The square root of 86577152 is about 9304.6844116284. The cubic root of 86577152 is about 442.3857187297.

The spelling of 86577152 in words is "eighty-six million, five hundred seventy-seven thousand, one hundred fifty-two".