86905764 has 96 divisors (see below), whose sum is σ = 247726080. Its totient is φ = 26128800.

The previous prime is 86905759. The next prime is 86905771. The reversal of 86905764 is 46750968.

It is a super-2 number, since 2×86905764² = 15105223632847392, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226717 + ... + 227099.

It is an arithmetic number, because the mean of its divisors is an integer number (2580480).

Almost surely, 2^86905764 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 86905764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123863040).

86905764 is an abundant number, since it is smaller than the sum of its proper divisors (160820316).

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

86905764 is a wasteful number, since it uses less digits than its factorization.

86905764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 86905764 is about 9322.3261045728. The cubic root of 86905764 is about 442.9447180854.

The spelling of 86905764 in words is "eighty-six million, nine hundred five thousand, seven hundred sixty-four".