86134968 has 64 divisors (see below), whose sum is σ = 240256800. Its totient is φ = 28592640.

The previous prime is 86134949. The next prime is 86135011. The reversal of 86134968 is 86943168.

It is a super-2 number, since 2×86134968² = 14838465424722048, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62608 + ... + 63968.

Almost surely, 2^86134968 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 86134968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120128400).

86134968 is an abundant number, since it is smaller than the sum of its proper divisors (154121832).

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

86134968 is a wasteful number, since it uses less digits than its factorization.

86134968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1659 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 86134968 is about 9280.8926294834. The cubic root of 86134968 is about 441.6312861813.

The spelling of 86134968 in words is "eighty-six million, one hundred thirty-four thousand, nine hundred sixty-eight".