86657472 has 224 divisors, whose sum is σ = 286755840. Its totient is φ = 25436160.

The previous prime is 86657447. The next prime is 86657479. The reversal of 86657472 is 27475668.

86657472 is a `hidden beast` number, since 8 + 6 + 6 + 574 + 72 = 666.

Its product of digits (564480) is a multiple of the sum of its prime divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86657479) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 893328 + ... + 893424.

It is an arithmetic number, because the mean of its divisors is an integer number (1280160).

Almost surely, 2^86657472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86657472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143377920).

86657472 is an abundant number, since it is smaller than the sum of its proper divisors (200098368).

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

86657472 is a wasteful number, since it uses less digits than its factorization.

86657472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 160 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 86657472 is about 9308.9995165968. Note that the first 3 decimals coincide. The cubic root of 86657472 is about 442.5224809032.

The spelling of 86657472 in words is "eighty-six million, six hundred fifty-seven thousand, four hundred seventy-two".