84800520 has 160 divisors (see below), whose sum is σ = 325828800. Its totient is φ = 19377792.

The previous prime is 84800501. The next prime is 84800557. The reversal of 84800520 is 2500848.

It is a super-2 number, since 2×84800520² = 14382256384540800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20811 + ... + 24549.

It is an arithmetic number, because the mean of its divisors is an integer number (2036430).

Almost surely, 2^84800520 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 84800520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162914400).

84800520 is an abundant number, since it is smaller than the sum of its proper divisors (241028280).

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

84800520 is a wasteful number, since it uses less digits than its factorization.

84800520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 84800520 is about 9208.7197807296. The cubic root of 84800520 is about 439.3387450213.

The spelling of 84800520 in words is "eighty-four million, eight hundred thousand, five hundred twenty".