890075520 has 256 divisors, whose sum is σ = 3319488000. Its totient is φ = 224778240.

The previous prime is 890075507. The next prime is 890075567. The reversal of 890075520 is 25570098.

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 31 ways as a sum of consecutive naturals, for example, 326965 + ... + 329675.

It is an arithmetic number, because the mean of its divisors is an integer number (12966750).

Almost surely, 2^890075520 is an apocalyptic number.

890075520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 890075520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659744000).

890075520 is an abundant number, since it is smaller than the sum of its proper divisors (2429412480).

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

890075520 is a wasteful number, since it uses less digits than its factorization.

890075520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 890075520 is about 29834.1334715792. The cubic root of 890075520 is about 961.9273778423.

The spelling of 890075520 in words is "eight hundred ninety million, seventy-five thousand, five hundred twenty".