86918832 has 400 divisors, whose sum is σ = 342811392. Its totient is φ = 20528640.

The previous prime is 86918831. The next prime is 86918849. The reversal of 86918832 is 23881968.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (86918831) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1297263 + ... + 1297329.

Almost surely, 2^86918832 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 86918832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171405696).

86918832 is an abundant number, since it is smaller than the sum of its proper divisors (255892560).

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

86918832 is a wasteful number, since it uses less digits than its factorization.

86918832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 103 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 86918832 is about 9323.0269762562. The cubic root of 86918832 is about 442.9669188049.

It can be divided in two parts, 869 and 18832, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 86918832 in words is "eighty-six million, nine hundred eighteen thousand, eight hundred thirty-two".