985120224 has 48 divisors (see below), whose sum is σ = 2821029120. Its totient is φ = 298520960.

The previous prime is 985120223. The next prime is 985120231. The reversal of 985120224 is 422021589.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985120223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 465384 + ... + 467495.

It is an arithmetic number, because the mean of its divisors is an integer number (58771440).

Almost surely, 2^985120224 is an apocalyptic number.

It is an amenable number.

985120224 is an abundant number, since it is smaller than the sum of its proper divisors (1835908896).

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

985120224 is a wasteful number, since it uses less digits than its factorization.

985120224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932903 (or 932895 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 985120224 is about 31386.6249220906. The cubic root of 985120224 is about 995.0152684037.

The spelling of 985120224 in words is "nine hundred eighty-five million, one hundred twenty thousand, two hundred twenty-four".