86653880 has 64 divisors (see below), whose sum is σ = 205286400. Its totient is φ = 32855680.

The previous prime is 86653877. The next prime is 86653907. The reversal of 86653880 is 8835668.

86653880 = 1001² + 1002² + ... + 1080².

It is a congruent number.

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, 120161 + ... + 120879.

It is an arithmetic number, because the mean of its divisors is an integer number (3207600).

Almost surely, 2^86653880 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 86653880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102643200).

86653880 is an abundant number, since it is smaller than the sum of its proper divisors (118632520).

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

86653880 is a wasteful number, since it uses less digits than its factorization.

86653880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The square root of 86653880 is about 9308.8065830159. The cubic root of 86653880 is about 442.5163665518.

The spelling of 86653880 in words is "eighty-six million, six hundred fifty-three thousand, eight hundred eighty".