84456864 has 96 divisors (see below), whose sum is σ = 247968000. Its totient is φ = 27965952.

The previous prime is 84456863. The next prime is 84456877. The reversal of 84456864 is 46865448.

84456864 is a `hidden beast` number, since 84 + 4 + 568 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84456863) 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, 206292 + ... + 206700.

It is an arithmetic number, because the mean of its divisors is an integer number (2583000).

Almost surely, 2^84456864 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 84456864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123984000).

84456864 is an abundant number, since it is smaller than the sum of its proper divisors (163511136).

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

84456864 is a wasteful number, since it uses less digits than its factorization.

84456864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 653 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 84456864 is about 9190.0415668266. The cubic root of 84456864 is about 438.7444648290.

The spelling of 84456864 in words is "eighty-four million, four hundred fifty-six thousand, eight hundred sixty-four".