86652720 has 320 divisors, whose sum is σ = 372833280. Its totient is φ = 17971200.

The previous prime is 86652677. The next prime is 86652733. The reversal of 86652720 is 2725668.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166060 + ... + 166580.

It is an arithmetic number, because the mean of its divisors is an integer number (1165104).

Almost surely, 2^86652720 is an apocalyptic number.

86652720 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 86652720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186416640).

86652720 is an abundant number, since it is smaller than the sum of its proper divisors (286180560).

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

86652720 is a wasteful number, since it uses less digits than its factorization.

86652720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 86652720 is about 9308.7442762169. The cubic root of 86652720 is about 442.5143919479.

The spelling of 86652720 in words is "eighty-six million, six hundred fifty-two thousand, seven hundred twenty".