84264864 has 96 divisors (see below), whose sum is σ = 229521600. Its totient is φ = 27052032.

The previous prime is 84264863. The next prime is 84264889. The reversal of 84264864 is 46846248.

It is a tau number, because it is divible by the number of its divisors (96).

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 (84264863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 565462 + ... + 565610.

It is an arithmetic number, because the mean of its divisors is an integer number (2390850).

Almost surely, 2^84264864 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 84264864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114760800).

84264864 is an abundant number, since it is smaller than the sum of its proper divisors (145256736).

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

84264864 is a wasteful number, since it uses less digits than its factorization.

84264864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 334 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 84264864 is about 9179.5895333070. The cubic root of 84264864 is about 438.4117393450.

The spelling of 84264864 in words is "eighty-four million, two hundred sixty-four thousand, eight hundred sixty-four".