86135400 has 240 divisors, whose sum is σ = 322961100. Its totient is φ = 21150720.

The previous prime is 86135369. The next prime is 86135411. The reversal of 86135400 is 453168.

86135400 is a `hidden beast` number, since 8 + 613 + 5 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 35070084 + 51065316 = 5922^2 + 7146^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 210396 + ... + 210804.

Almost surely, 2^86135400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86135400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161480550).

86135400 is an abundant number, since it is smaller than the sum of its proper divisors (236825700).

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

86135400 is a wasteful number, since it uses less digits than its factorization.

86135400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 86135400 is about 9280.9159030777. The cubic root of 86135400 is about 441.6320244970.

Adding to 86135400 its reverse (453168), we get a palindrome (86588568).

The spelling of 86135400 in words is "eighty-six million, one hundred thirty-five thousand, four hundred".