84402864 has 320 divisors, whose sum is σ = 316646400. Its totient is φ = 20901888.

The previous prime is 84402853. The next prime is 84402919. The reversal of 84402864 is 46820448.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 746872 + ... + 746984.

It is an arithmetic number, because the mean of its divisors is an integer number (989520).

Almost surely, 2^84402864 is an apocalyptic number.

84402864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84402864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158323200).

84402864 is an abundant number, since it is smaller than the sum of its proper divisors (232243536).

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

84402864 is a wasteful number, since it uses less digits than its factorization.

84402864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 84402864 is about 9187.1031342856. The cubic root of 84402864 is about 438.6509367990.

The spelling of 84402864 in words is "eighty-four million, four hundred two thousand, eight hundred sixty-four".