86513400 has 192 divisors, whose sum is σ = 306751200. Its totient is φ = 22394880.

The previous prime is 86513393. The next prime is 86513407. The reversal of 86513400 is 431568.

86513400 = 251² + 252² + ... + 650².

86513400 is a `hidden beast` number, since 8 + 651 + 3 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (86513393) and next prime (86513407).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86513407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199584 + ... + 200016.

Almost surely, 2^86513400 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 86513400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153375600).

86513400 is an abundant number, since it is smaller than the sum of its proper divisors (220237800).

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

86513400 is a wasteful number, since it uses less digits than its factorization.

86513400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 480 counting only the distinct ones).

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

The square root of 86513400 is about 9301.2579794348. The cubic root of 86513400 is about 442.2771069346.

Adding to 86513400 its reverse (431568), we get a palindrome (86944968).

The spelling of 86513400 in words is "eighty-six million, five hundred thirteen thousand, four hundred".