984960000 has 550 divisors, whose sum is σ = 3868870940. Its totient is φ = 248832000.

The previous prime is 984959999. The next prime is 984960043. The reversal of 984960000 is 69489.

984960000 is a `hidden beast` number, since 9 + 8 + 49 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 51839991 + ... + 51840009.

Almost surely, 2^984960000 is an apocalyptic number.

984960000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 984960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934435470).

984960000 is an abundant number, since it is smaller than the sum of its proper divisors (2883910940).

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

984960000 is an equidigital number, since it uses as much as digits as its factorization.

984960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 984960000 is about 31384.0723934928. The cubic root of 984960000 is about 994.9613210220.

The spelling of 984960000 in words is "nine hundred eighty-four million, nine hundred sixty thousand".