84665900 has 72 divisors (see below), whose sum is σ = 211028160. Its totient is φ = 29160000.

The previous prime is 84665849. The next prime is 84665923. The reversal of 84665900 is 956648.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18875 + ... + 22925.

Almost surely, 2^84665900 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 84665900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105514080).

84665900 is an abundant number, since it is smaller than the sum of its proper divisors (126362260).

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

84665900 is a wasteful number, since it uses less digits than its factorization.

84665900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4095 (or 4088 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 84665900 is about 9201.4075010294. The cubic root of 84665900 is about 439.1061398981.

The spelling of 84665900 in words is "eighty-four million, six hundred sixty-five thousand, nine hundred".