86882700 has 72 divisors (see below), whose sum is σ = 254983680. Its totient is φ = 22836800.

The previous prime is 86882693. The next prime is 86882717. The reversal of 86882700 is 728868.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19261 + ... + 23339.

It is an arithmetic number, because the mean of its divisors is an integer number (3541440).

Almost surely, 2^86882700 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 86882700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127491840).

86882700 is an abundant number, since it is smaller than the sum of its proper divisors (168100980).

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

86882700 is a wasteful number, since it uses less digits than its factorization.

86882700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4167 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 86882700 is about 9321.0889921725. The cubic root of 86882700 is about 442.9055301175.

The spelling of 86882700 in words is "eighty-six million, eight hundred eighty-two thousand, seven hundred".