86770464 has 96 divisors (see below), whose sum is σ = 250822656. Its totient is φ = 26046720.

The previous prime is 86770459. The next prime is 86770483. The reversal of 86770464 is 46407768.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×86770464² = 15058226845550592, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 133789 + ... + 134435.

It is an arithmetic number, because the mean of its divisors is an integer number (2612736).

Almost surely, 2^86770464 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 86770464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125411328).

86770464 is an abundant number, since it is smaller than the sum of its proper divisors (164052192).

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

86770464 is a wasteful number, since it uses less digits than its factorization.

86770464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 86770464 is about 9315.0665053987. The cubic root of 86770464 is about 442.7147312368.

It can be divided in two parts, 867704 and 64, that added together give a palindrome (867768).

The spelling of 86770464 in words is "eighty-six million, seven hundred seventy thousand, four hundred sixty-four".