985981248 has 196 divisors, whose sum is σ = 3353673760. Its totient is φ = 281615616.

The previous prime is 985981229. The next prime is 985981301. The reversal of 985981248 is 842189589.

985981248 is a `hidden beast` number, since 9 + 8 + 598 + 1 + 2 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 985981194 and 985981203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 325083 + ... + 328101.

Almost surely, 2^985981248 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 985981248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676836880).

985981248 is an abundant number, since it is smaller than the sum of its proper divisors (2367692512).

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

985981248 is an equidigital number, since it uses as much as digits as its factorization.

985981248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3056 (or 3031 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The square root of 985981248 is about 31400.3383421262. The cubic root of 985981248 is about 995.3050748401.

The spelling of 985981248 in words is "nine hundred eighty-five million, nine hundred eighty-one thousand, two hundred forty-eight".