84264264 has 48 divisors (see below), whose sum is σ = 260819520. Its totient is φ = 24075360.

The previous prime is 84264263. The next prime is 84264269. The reversal of 84264264 is 46246248.

It is a happy number.

84264264 is a `hidden beast` number, since 8 + 4 + 2 + 642 + 6 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (84264263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83092 + ... + 84099.

It is an arithmetic number, because the mean of its divisors is an integer number (5433740).

Almost surely, 2^84264264 is an apocalyptic number.

84264264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

84264264 is an abundant number, since it is smaller than the sum of its proper divisors (176555256).

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

84264264 is a wasteful number, since it uses less digits than its factorization.

84264264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167210 (or 167203 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 84264264 is about 9179.5568520490. The cubic root of 84264264 is about 438.4106987861.

The spelling of 84264264 in words is "eighty-four million, two hundred sixty-four thousand, two hundred sixty-four".