86084880 has 80 divisors (see below), whose sum is σ = 304992384. Its totient is φ = 19676160.

The previous prime is 86084857. The next prime is 86084893. The reversal of 86084880 is 8848068.

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

It is a super-2 number, since 2×86084880² = 14821213129228800, which contains 22 as substring.

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, 23941 + ... + 27300.

Almost surely, 2^86084880 is an apocalyptic number.

86084880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86084880 is an abundant number, since it is smaller than the sum of its proper divisors (218907504).

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

86084880 is a wasteful number, since it uses less digits than its factorization.

86084880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51264 (or 51258 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 86084880 is about 9278.1937897416. The cubic root of 86084880 is about 441.5456658366.

The spelling of 86084880 in words is "eighty-six million, eighty-four thousand, eight hundred eighty".