86786400 has 72 divisors (see below), whose sum is σ = 282497544. Its totient is φ = 23142400.

The previous prime is 86786363. The next prime is 86786407. The reversal of 86786400 is 468768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86786407) 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, 15681 + ... + 20480.

It is an arithmetic number, because the mean of its divisors is an integer number (3923577).

Almost surely, 2^86786400 is an apocalyptic number.

86786400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86786400 is an abundant number, since it is smaller than the sum of its proper divisors (195711144).

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

86786400 is a wasteful number, since it uses less digits than its factorization.

86786400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36184 (or 36171 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 86786400 is about 9315.9218545456. The cubic root of 86786400 is about 442.7418321257.

The spelling of 86786400 in words is "eighty-six million, seven hundred eighty-six thousand, four hundred".