86934400 has 96 divisors (see below), whose sum is σ = 245497680. Its totient is φ = 29798400.

The previous prime is 86934377. The next prime is 86934401. The reversal of 86934400 is 443968.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86934401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20460 + ... + 24340.

Almost surely, 2^86934400 is an apocalyptic number.

86934400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122748840).

86934400 is an abundant number, since it is smaller than the sum of its proper divisors (158563280).

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

86934400 is a wasteful number, since it uses less digits than its factorization.

86934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3912 (or 3895 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 86934400 is about 9323.8618608386. The cubic root of 86934400 is about 442.9933637734.

The spelling of 86934400 in words is "eighty-six million, nine hundred thirty-four thousand, four hundred".