86540880 has 80 divisors (see below), whose sum is σ = 284071104. Its totient is φ = 21719040.

The previous prime is 86540879. The next prime is 86540893. The reversal of 86540880 is 8804568.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×86540880² = 14978647822348800, which contains 22 as substring.

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, 6526 + ... + 14685.

Almost surely, 2^86540880 is an apocalyptic number.

86540880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86540880 is an abundant number, since it is smaller than the sum of its proper divisors (197530224).

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

86540880 is a wasteful number, since it uses less digits than its factorization.

86540880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21244 (or 21238 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 86540880 is about 9302.7350816843. The cubic root of 86540880 is about 442.3239300791.

The spelling of 86540880 in words is "eighty-six million, five hundred forty thousand, eight hundred eighty".