86157918 has 80 divisors (see below), whose sum is σ = 240729984. Its totient is φ = 22375440.

The previous prime is 86157893. The next prime is 86157919. The reversal of 86157918 is 81975168.

86157918 is a `hidden beast` number, since 8 + 61 + 579 + 18 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86157919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9021 + ... + 15927.

Almost surely, 2^86157918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86157918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120364992).

86157918 is an abundant number, since it is smaller than the sum of its proper divisors (154572066).

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

86157918 is a wasteful number, since it uses less digits than its factorization.

86157918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6939 (or 6930 counting only the distinct ones).

The product of its digits is 120960, while the sum is 45.

The square root of 86157918 is about 9282.1289583802. The cubic root of 86157918 is about 441.6705057852.

The spelling of 86157918 in words is "eighty-six million, one hundred fifty-seven thousand, nine hundred eighteen".