985249920 has 128 divisors (see below), whose sum is σ = 3149352000. Its totient is φ = 261992448.

The previous prime is 985249907. The next prime is 985249957. The reversal of 985249920 is 29942589.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 985249920.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1188066 + ... + 1188894.

Almost surely, 2^985249920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 985249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574676000).

985249920 is an abundant number, since it is smaller than the sum of its proper divisors (2164102080).

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

985249920 is a wasteful number, since it uses less digits than its factorization.

985249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 985249920 is about 31388.6909570947. The cubic root of 985249920 is about 995.0589327316.

The spelling of 985249920 in words is "nine hundred eighty-five million, two hundred forty-nine thousand, nine hundred twenty".