84906900 has 288 divisors, whose sum is σ = 306230400. Its totient is φ = 20044800.

The previous prime is 84906883. The next prime is 84906907. The reversal of 84906900 is 960948.

It is a super-2 number, since 2×84906900² = 14418363335220000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84906907) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1439071 + ... + 1439129.

It is an arithmetic number, because the mean of its divisors is an integer number (1063300).

Almost surely, 2^84906900 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 84906900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153115200).

84906900 is an abundant number, since it is smaller than the sum of its proper divisors (221323500).

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

84906900 is a wasteful number, since it uses less digits than its factorization.

84906900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 84906900 is about 9214.4940175790. The cubic root of 84906900 is about 439.5223811827.

The spelling of 84906900 in words is "eighty-four million, nine hundred six thousand, nine hundred".