86975616 has 256 divisors, whose sum is σ = 301593600. Its totient is φ = 21565440.

The previous prime is 86975599. The next prime is 86975671. The reversal of 86975616 is 61657968.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 663871 + ... + 664001.

It is an arithmetic number, because the mean of its divisors is an integer number (1178100).

Almost surely, 2^86975616 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 86975616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150796800).

86975616 is an abundant number, since it is smaller than the sum of its proper divisors (214617984).

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

86975616 is a wasteful number, since it uses less digits than its factorization.

86975616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 175 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 86975616 is about 9326.0718418850. The cubic root of 86975616 is about 443.0633611115.

The spelling of 86975616 in words is "eighty-six million, nine hundred seventy-five thousand, six hundred sixteen".