985952160 has 144 divisors (see below), whose sum is σ = 3443023584. Its totient is φ = 256790016.

The previous prime is 985952141. The next prime is 985952171. The reversal of 985952160 is 61259589.

985952160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53959 + ... + 69881.

It is an arithmetic number, because the mean of its divisors is an integer number (23909886).

Almost surely, 2^985952160 is an apocalyptic number.

985952160 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 985952160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721511792).

985952160 is an abundant number, since it is smaller than the sum of its proper divisors (2457071424).

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

985952160 is a wasteful number, since it uses less digits than its factorization.

985952160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15987 (or 15976 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 985952160 is about 31399.8751589875. The cubic root of 985952160 is about 995.2952870546.

The spelling of 985952160 in words is "nine hundred eighty-five million, nine hundred fifty-two thousand, one hundred sixty".