86005600 has 36 divisors (see below), whose sum is σ = 209963124. Its totient is φ = 34401920.

The previous prime is 86005573. The next prime is 86005603. The reversal of 86005600 is 650068.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86005603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52954 + ... + 54553.

It is an arithmetic number, because the mean of its divisors is an integer number (5832309).

Almost surely, 2^86005600 is an apocalyptic number.

86005600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86005600 is an abundant number, since it is smaller than the sum of its proper divisors (123957524).

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

86005600 is a wasteful number, since it uses less digits than its factorization.

86005600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107527 (or 107514 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 86005600 is about 9273.9204223457. The cubic root of 86005600 is about 441.4100768222.

Adding to 86005600 its reverse (650068), we get a palindrome (86655668).

The spelling of 86005600 in words is "eighty-six million, five thousand, six hundred".