86877072 has 120 divisors (see below), whose sum is σ = 268804224. Its totient is φ = 26053632.

The previous prime is 86877067. The next prime is 86877107. The reversal of 86877072 is 27077868.

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, 55533 + ... + 57075.

Almost surely, 2^86877072 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 86877072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134402112).

86877072 is an abundant number, since it is smaller than the sum of its proper divisors (181927152).

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

86877072 is a wasteful number, since it uses less digits than its factorization.

86877072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 86877072 is about 9320.7870912279. The cubic root of 86877072 is about 442.8959665483.

The spelling of 86877072 in words is "eighty-six million, eight hundred seventy-seven thousand, seventy-two".