86415360 has 192 divisors, whose sum is σ = 288943200. Its totient is φ = 22020096.

The previous prime is 86415359. The next prime is 86415377. The reversal of 86415360 is 6351468.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×86415360² = 14935228887859200, 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, 890832 + ... + 890928.

Almost surely, 2^86415360 is an apocalyptic number.

86415360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86415360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144471600).

86415360 is an abundant number, since it is smaller than the sum of its proper divisors (202527840).

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

86415360 is a wasteful number, since it uses less digits than its factorization.

86415360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 86415360 is about 9295.9862306266. The cubic root of 86415360 is about 442.1099758419.

The spelling of 86415360 in words is "eighty-six million, four hundred fifteen thousand, three hundred sixty".