84018816 has 256 divisors, whose sum is σ = 297676800. Its totient is φ = 22809600.

The previous prime is 84018761. The next prime is 84018859. The reversal of 84018816 is 61881048.

It is a super-2 number, since 2×84018816² = 14118322884083712, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 556341 + ... + 556491.

It is an arithmetic number, because the mean of its divisors is an integer number (1162800).

Almost surely, 2^84018816 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 84018816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148838400).

84018816 is an abundant number, since it is smaller than the sum of its proper divisors (213657984).

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

84018816 is a wasteful number, since it uses less digits than its factorization.

84018816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 84018816 is about 9166.1778293900. The cubic root of 84018816 is about 437.9846119570.

The spelling of 84018816 in words is "eighty-four million, eighteen thousand, eight hundred sixteen".