86588400 has 120 divisors (see below), whose sum is σ = 282303360. Its totient is φ = 22680320.

The previous prime is 86588347. The next prime is 86588413. The reversal of 86588400 is 488568.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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, 70189 + ... + 71411.

It is an arithmetic number, because the mean of its divisors is an integer number (2352528).

Almost surely, 2^86588400 is an apocalyptic number.

86588400 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 86588400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141151680).

86588400 is an abundant number, since it is smaller than the sum of its proper divisors (195714960).

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

86588400 is a wasteful number, since it uses less digits than its factorization.

86588400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 86588400 is about 9305.2888187310. The cubic root of 86588400 is about 442.4048759745.

The spelling of 86588400 in words is "eighty-six million, five hundred eighty-eight thousand, four hundred".