86274720 has 288 divisors, whose sum is σ = 350034048. Its totient is φ = 19657728.

The previous prime is 86274719. The next prime is 86274733. The reversal of 86274720 is 2747268.

86274720 is a `hidden beast` number, since 8 + 627 + 4 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×86274720² = 14886654622156800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272002 + ... + 272318.

It is an arithmetic number, because the mean of its divisors is an integer number (1215396).

Almost surely, 2^86274720 is an apocalyptic number.

86274720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86274720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175017024).

86274720 is an abundant number, since it is smaller than the sum of its proper divisors (263759328).

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

86274720 is a wasteful number, since it uses less digits than its factorization.

86274720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 86274720 is about 9288.4185952185. The cubic root of 86274720 is about 441.8700026510.

The spelling of 86274720 in words is "eighty-six million, two hundred seventy-four thousand, seven hundred twenty".