86486400 has 768 divisors, whose sum is σ = 424972800. Its totient is φ = 16588800.

The previous prime is 86486399. The next prime is 86486419. The reversal of 86486400 is 468468.

86486400 is a `hidden beast` number, since 8 + 6 + 4 + 8 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6652794 + ... + 6652806.

It is an arithmetic number, because the mean of its divisors is an integer number (553350).

Almost surely, 2^86486400 is an apocalyptic number.

86486400 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 86486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212486400).

86486400 is an abundant number, since it is smaller than the sum of its proper divisors (338486400).

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

86486400 is a wasteful number, since it uses less digits than its factorization.

86486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 86486400 is about 9299.8064495988. The cubic root of 86486400 is about 442.2310920036.

It can be divided in two parts, 864 and 86400, that multiplied together give a square (74649600 = 8640²).

The spelling of 86486400 in words is "eighty-six million, four hundred eighty-six thousand, four hundred".