86404800 has 168 divisors, whose sum is σ = 290267136. Its totient is φ = 22492160.

The previous prime is 86404789. The next prime is 86404817. The reversal of 86404800 is 840468.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225409 + ... + 225791.

Almost surely, 2^86404800 is an apocalyptic number.

86404800 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 86404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145133568).

86404800 is an abundant number, since it is smaller than the sum of its proper divisors (203862336).

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

86404800 is a wasteful number, since it uses less digits than its factorization.

86404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 86404800 is about 9295.4182262016. The cubic root of 86404800 is about 442.0919664219.

The spelling of 86404800 in words is "eighty-six million, four hundred four thousand, eight hundred".