86514400 has 108 divisors (see below), whose sum is σ = 245796768. Its totient is φ = 29648640.

The previous prime is 86514383. The next prime is 86514419. The reversal of 86514400 is 441568.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 38097 + ... + 40303.

It is an arithmetic number, because the mean of its divisors is an integer number (2275896).

Almost surely, 2^86514400 is an apocalyptic number.

86514400 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 86514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122898384).

86514400 is an abundant number, since it is smaller than the sum of its proper divisors (159282368).

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

86514400 is a wasteful number, since it uses less digits than its factorization.

86514400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 86514400 is about 9301.3117354489. The cubic root of 86514400 is about 442.2788110074.

Adding to 86514400 its reverse (441568), we get a palindrome (86955968).

The spelling of 86514400 in words is "eighty-six million, five hundred fourteen thousand, four hundred".