86825760 has 96 divisors (see below), whose sum is σ = 312584832. Its totient is φ = 19845120.

The previous prime is 86825747. The next prime is 86825771. The reversal of 86825760 is 6752868.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9561 + ... + 16280.

It is an arithmetic number, because the mean of its divisors is an integer number (3256092).

Almost surely, 2^86825760 is an apocalyptic number.

86825760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86825760 is an abundant number, since it is smaller than the sum of its proper divisors (225759072).

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

86825760 is a wasteful number, since it uses less digits than its factorization.

86825760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25866 (or 25858 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 86825760 is about 9318.0341274327. The cubic root of 86825760 is about 442.8087538428.

The spelling of 86825760 in words is "eighty-six million, eight hundred twenty-five thousand, seven hundred sixty".