86516640 has 192 divisors, whose sum is σ = 346187520. Its totient is φ = 19768320.

The previous prime is 86516609. The next prime is 86516653. The reversal of 86516640 is 4661568.

86516640 is a `hidden beast` number, since 8 + 6 + 5 + 1 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 86516595 and 86516604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28810 + ... + 31670.

It is an arithmetic number, because the mean of its divisors is an integer number (1803060).

Almost surely, 2^86516640 is an apocalyptic number.

86516640 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 86516640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173093760).

86516640 is an abundant number, since it is smaller than the sum of its proper divisors (259670880).

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

86516640 is a wasteful number, since it uses less digits than its factorization.

86516640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 86516640 is about 9301.4321477932. The cubic root of 86516640 is about 442.2826280829.

The spelling of 86516640 in words is "eighty-six million, five hundred sixteen thousand, six hundred forty".