86267296 has 96 divisors (see below), whose sum is σ = 193536000. Its totient is φ = 37635840.

The previous prime is 86267243. The next prime is 86267297. The reversal of 86267296 is 69276268.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86267297) 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, 433405 + ... + 433603.

It is an arithmetic number, because the mean of its divisors is an integer number (2016000).

Almost surely, 2^86267296 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 86267296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96768000).

86267296 is an abundant number, since it is smaller than the sum of its proper divisors (107268704).

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

86267296 is a wasteful number, since it uses less digits than its factorization.

86267296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 274 counting only the distinct ones).

The product of its digits is 435456, while the sum is 46.

The square root of 86267296 is about 9288.0189491624. The cubic root of 86267296 is about 441.8573278798.

The spelling of 86267296 in words is "eighty-six million, two hundred sixty-seven thousand, two hundred ninety-six".