985104960 has 224 divisors, whose sum is σ = 3651747840. Its totient is φ = 220305408.

The previous prime is 985104943. The next prime is 985104979. The reversal of 985104960 is 69401589.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314281 + ... + 317399.

Almost surely, 2^985104960 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 985104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825873920).

985104960 is an abundant number, since it is smaller than the sum of its proper divisors (2666642880).

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

985104960 is a wasteful number, since it uses less digits than its factorization.

985104960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3193 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 985104960 is about 31386.3817602475. The cubic root of 985104960 is about 995.0101292707.

The spelling of 985104960 in words is "nine hundred eighty-five million, one hundred four thousand, nine hundred sixty".