999648000 has 576 divisors, whose sum is σ = 4017686400. Its totient is φ = 243302400.

The previous prime is 999647993. The next prime is 999648061. The reversal of 999648000 is 846999.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×999648000² = 1998592247808000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11231956 + ... + 11232044.

It is an arithmetic number, because the mean of its divisors is an integer number (6975150).

Almost surely, 2^999648000 is an apocalyptic number.

999648000 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 999648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008843200).

999648000 is an abundant number, since it is smaller than the sum of its proper divisors (3018038400).

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

999648000 is a wasteful number, since it uses less digits than its factorization.

999648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 999648000 is about 31617.2105031421. The cubic root of 999648000 is about 999.8826528969.

The spelling of 999648000 in words is "nine hundred ninety-nine million, six hundred forty-eight thousand".