86400880 has 40 divisors (see below), whose sum is σ = 209620512. Its totient is φ = 33057024.

The previous prime is 86400793. The next prime is 86400929. The reversal of 86400880 is 8800468.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×86400880² = 14930224129548800, 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 7 ways as a sum of consecutive naturals, for example, 21639 + ... + 25318.

Almost surely, 2^86400880 is an apocalyptic number.

86400880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86400880 is an abundant number, since it is smaller than the sum of its proper divisors (123219632).

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

86400880 is a wasteful number, since it uses less digits than its factorization.

86400880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46993 (or 46987 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 86400880 is about 9295.2073672404. The cubic root of 86400880 is about 442.0852807335.

The spelling of 86400880 in words is "eighty-six million, four hundred thousand, eight hundred eighty".