86263872 has 56 divisors (see below), whose sum is σ = 234427776. Its totient is φ = 27975168.

The previous prime is 86263871. The next prime is 86263883. The reversal of 86263872 is 27836268.

It is a super-3 number, since 3×86263872³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86263871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1033 + ... + 13175.

Almost surely, 2^86263872 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 86263872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117213888).

86263872 is an abundant number, since it is smaller than the sum of its proper divisors (148163904).

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

86263872 is a wasteful number, since it uses less digits than its factorization.

86263872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12195 (or 12185 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 86263872 is about 9287.8346238507. The cubic root of 86263872 is about 441.8514819429.

The spelling of 86263872 in words is "eighty-six million, two hundred sixty-three thousand, eight hundred seventy-two".