993320640 has 336 divisors, whose sum is σ = 3771095328. Its totient is φ = 238436352.

The previous prime is 993320623. The next prime is 993320651. The reversal of 993320640 is 46023399.

It is a happy number.

993320640 is a `hidden beast` number, since 9 + 9 + 3 + 3 + 2 + 0 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 993320595 and 993320604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1609612 + ... + 1610228.

It is an arithmetic number, because the mean of its divisors is an integer number (11223498).

Almost surely, 2^993320640 is an apocalyptic number.

993320640 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 993320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885547664).

993320640 is an abundant number, since it is smaller than the sum of its proper divisors (2777774688).

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

993320640 is a wasteful number, since it uses less digits than its factorization.

993320640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 993320640 is about 31516.9897039676. The cubic root of 993320640 is about 997.7685710953.

The spelling of 993320640 in words is "nine hundred ninety-three million, three hundred twenty thousand, six hundred forty".