84890520 has 384 divisors, whose sum is σ = 346731840. Its totient is φ = 17694720.

The previous prime is 84890501. The next prime is 84890549. The reversal of 84890520 is 2509848.

84890520 is a `hidden beast` number, since 8 + 48 + 90 + 520 = 666.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 875112 + ... + 875208.

Almost surely, 2^84890520 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 84890520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173365920).

84890520 is an abundant number, since it is smaller than the sum of its proper divisors (261841320).

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

84890520 is a wasteful number, since it uses less digits than its factorization.

84890520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 84890520 is about 9213.6051575917. The cubic root of 84890520 is about 439.4941155584.

The spelling of 84890520 in words is "eighty-four million, eight hundred ninety thousand, five hundred twenty".