984624960 has 112 divisors (see below), whose sum is σ = 3410419392. Its totient is φ = 238694400.

The previous prime is 984624943. The next prime is 984624961. The reversal of 984624960 is 69426489.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (984624961) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 36061 + ... + 57180.

Almost surely, 2^984624960 is an apocalyptic number.

It is an amenable number.

984624960 is an abundant number, since it is smaller than the sum of its proper divisors (2425794432).

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

984624960 is a wasteful number, since it uses less digits than its factorization.

984624960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93272 (or 93262 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 984624960 is about 31378.7342000916. The cubic root of 984624960 is about 994.8484942252.

The spelling of 984624960 in words is "nine hundred eighty-four million, six hundred twenty-four thousand, nine hundred sixty".