86975460 has 288 divisors, whose sum is σ = 322882560. Its totient is φ = 18662400.

The previous prime is 86975453. The next prime is 86975467. The reversal of 86975460 is 6457968.

It is an interprime number because it is at equal distance from previous prime (86975453) and next prime (86975467).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (86975467) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 797886 + ... + 797994.

It is an arithmetic number, because the mean of its divisors is an integer number (1121120).

Almost surely, 2^86975460 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 86975460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161441280).

86975460 is an abundant number, since it is smaller than the sum of its proper divisors (235907100).

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

86975460 is a wasteful number, since it uses less digits than its factorization.

86975460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 86975460 is about 9326.0634782313. The cubic root of 86975460 is about 443.0630962176.

The spelling of 86975460 in words is "eighty-six million, nine hundred seventy-five thousand, four hundred sixty".