985576320 has 192 divisors, whose sum is σ = 3419807040. Its totient is φ = 261550080.

The previous prime is 985576307. The next prime is 985576331. The reversal of 985576320 is 23675589.

It is a happy number.

985576320 is a `hidden beast` number, since 9 + 8 + 5 + 5 + 7 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2286505 + ... + 2286935.

It is an arithmetic number, because the mean of its divisors is an integer number (17811495).

Almost surely, 2^985576320 is an apocalyptic number.

985576320 is a gapful number since it is divisible by the number (90) 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 985576320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709903520).

985576320 is an abundant number, since it is smaller than the sum of its proper divisors (2434230720).

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

985576320 is a wasteful number, since it uses less digits than its factorization.

985576320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 985576320 is about 31393.8898513708. The cubic root of 985576320 is about 995.1688037974.

The spelling of 985576320 in words is "nine hundred eighty-five million, five hundred seventy-six thousand, three hundred twenty".