993960000 has 420 divisors, whose sum is σ = 3899239344. Its totient is φ = 240000000.

The previous prime is 993959999. The next prime is 993960017. The reversal of 993960000 is 69399.

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

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 59 ways as a sum of consecutive naturals, for example, 3959875 + ... + 3960125.

Almost surely, 2^993960000 is an apocalyptic number.

993960000 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 993960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949619672).

993960000 is an abundant number, since it is smaller than the sum of its proper divisors (2905279344).

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

993960000 is a wasteful number, since it uses less digits than its factorization.

993960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 993960000 is about 31527.1311730072. The cubic root of 993960000 is about 997.9825994988.

It can be divided in two parts, 99 and 3960000, that multiplied together give a square (392040000 = 19800²).

The spelling of 993960000 in words is "nine hundred ninety-three million, nine hundred sixty thousand".