86570400 has 144 divisors (see below), whose sum is σ = 322104384. Its totient is φ = 19783680.

The previous prime is 86570399. The next prime is 86570401. The reversal of 86570400 is 407568.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86570399) and next prime (86570401).

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

It is not an unprimeable number, because it can be changed into a prime (86570401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14224 + ... + 19376.

It is an arithmetic number, because the mean of its divisors is an integer number (2236836).

Almost surely, 2^86570400 is an apocalyptic number.

86570400 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 86570400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161052192).

86570400 is an abundant number, since it is smaller than the sum of its proper divisors (235533984).

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

86570400 is a wasteful number, since it uses less digits than its factorization.

86570400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5183 (or 5170 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 86570400 is about 9304.3215765579. The cubic root of 86570400 is about 442.3742181357.

Adding to 86570400 its reverse (407568), we get a palindrome (86977968).

The spelling of 86570400 in words is "eighty-six million, five hundred seventy thousand, four hundred".