993364992 has 352 divisors, whose sum is σ = 3248998400. Its totient is φ = 298598400.

The previous prime is 993364979. The next prime is 993364993. The reversal of 993364992 is 299463399.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (993364993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16284642 + ... + 16284702.

Almost surely, 2^993364992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993364992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624499200).

993364992 is an abundant number, since it is smaller than the sum of its proper divisors (2255633408).

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

993364992 is a wasteful number, since it uses less digits than its factorization.

993364992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 116 counting only the distinct ones).

The product of its digits is 2834352, while the sum is 54.

The square root of 993364992 is about 31517.6933166119. The cubic root of 993364992 is about 997.7834210747.

The spelling of 993364992 in words is "nine hundred ninety-three million, three hundred sixty-four thousand, nine hundred ninety-two".