84357264 has 80 divisors (see below), whose sum is σ = 242930880. Its totient is φ = 25067520.

The previous prime is 84357263. The next prime is 84357277. The reversal of 84357264 is 46275348.

It is a happy number.

It is a super-2 number, since 2×84357264² = 14232295979131392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84357263) 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, 12784 + ... + 18224.

It is an arithmetic number, because the mean of its divisors is an integer number (3036636).

Almost surely, 2^84357264 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 84357264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121465440).

84357264 is an abundant number, since it is smaller than the sum of its proper divisors (158573616).

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

84357264 is a wasteful number, since it uses less digits than its factorization.

84357264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5488 (or 5482 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 84357264 is about 9184.6210591401. The cubic root of 84357264 is about 438.5719265021.

The spelling of 84357264 in words is "eighty-four million, three hundred fifty-seven thousand, two hundred sixty-four".