985272120 has 256 divisors, whose sum is σ = 3825792000. Its totient is φ = 220866048.

The previous prime is 985272089. The next prime is 985272181. The reversal of 985272120 is 21272589.

985272120 is a `hidden beast` number, since 9 + 8 + 527 + 2 + 120 = 666.

It is a super-2 number, since 2×985272120² = 1941522300898588800, which contains 22 as substring.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 399451 + ... + 401909.

It is an arithmetic number, because the mean of its divisors is an integer number (14944500).

Almost surely, 2^985272120 is an apocalyptic number.

985272120 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 985272120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912896000).

985272120 is an abundant number, since it is smaller than the sum of its proper divisors (2840519880).

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

985272120 is a wasteful number, since it uses less digits than its factorization.

985272120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2539 (or 2529 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 985272120 is about 31389.0445856512. The cubic root of 985272120 is about 995.0664063488.

The spelling of 985272120 in words is "nine hundred eighty-five million, two hundred seventy-two thousand, one hundred twenty".