993322304 has 56 divisors (see below), whose sum is σ = 2126772480. Its totient is φ = 457588224.

The previous prime is 993322301. The next prime is 993322307. The reversal of 993322304 is 403223399.

It is an interprime number because it is at equal distance from previous prime (993322301) and next prime (993322307).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993322301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 697337 + ... + 698759.

It is an arithmetic number, because the mean of its divisors is an integer number (37978080).

Almost surely, 2^993322304 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 993322304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063386240).

993322304 is an abundant number, since it is smaller than the sum of its proper divisors (1133450176).

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

993322304 is a wasteful number, since it uses less digits than its factorization.

993322304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 35.

The square root of 993322304 is about 31517.0161024168. The cubic root of 993322304 is about 997.7691282454.

The spelling of 993322304 in words is "nine hundred ninety-three million, three hundred twenty-two thousand, three hundred four".