985972320 has 144 divisors (see below), whose sum is σ = 3541814640. Its totient is φ = 249080832.

The previous prime is 985972297. The next prime is 985972343. The reversal of 985972320 is 23279589.

985972320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (985972297) and next prime (985972343).

It is a tau number, because it is divible by the number of its divisors (144).

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, 9342 + ... + 45378.

It is an arithmetic number, because the mean of its divisors is an integer number (24595935).

Almost surely, 2^985972320 is an apocalyptic number.

985972320 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 985972320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770907320).

985972320 is an abundant number, since it is smaller than the sum of its proper divisors (2555842320).

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

985972320 is a wasteful number, since it uses less digits than its factorization.

985972320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36077 (or 36066 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 985972320 is about 31400.1961777311. The cubic root of 985972320 is about 995.3020706888.

The spelling of 985972320 in words is "nine hundred eighty-five million, nine hundred seventy-two thousand, three hundred twenty".