86957112 has 64 divisors (see below), whose sum is σ = 247484160. Its totient is φ = 25203200.

The previous prime is 86957111. The next prime is 86957113. The reversal of 86957112 is 21175968.

It is an interprime number because it is at equal distance from previous prime (86957111) and next prime (86957113).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86957111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1089 + ... + 13232.

It is an arithmetic number, because the mean of its divisors is an integer number (3866940).

Almost surely, 2^86957112 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 86957112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080).

86957112 is an abundant number, since it is smaller than the sum of its proper divisors (160527048).

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

86957112 is a wasteful number, since it uses less digits than its factorization.

86957112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14364 (or 14360 counting only the distinct ones).

The product of its digits is 30240, while the sum is 39.

The square root of 86957112 is about 9325.0797315626. The cubic root of 86957112 is about 443.0319384121.

The spelling of 86957112 in words is "eighty-six million, nine hundred fifty-seven thousand, one hundred twelve".