86274972 has 144 divisors (see below), whose sum is σ = 270000640. Its totient is φ = 22674816.

The previous prime is 86274959. The next prime is 86274989. The reversal of 86274972 is 27947268.

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 176913 + ... + 177399.

Almost surely, 2^86274972 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 86274972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135000320).

86274972 is an abundant number, since it is smaller than the sum of its proper divisors (183725668).

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

86274972 is a wasteful number, since it uses less digits than its factorization.

86274972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 555 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 86274972 is about 9288.4321604887. The cubic root of 86274972 is about 441.8704328702.

The spelling of 86274972 in words is "eighty-six million, two hundred seventy-four thousand, nine hundred seventy-two".