993923964 has 72 divisors (see below), whose sum is σ = 2775601920. Its totient is φ = 297367200.

The previous prime is 993923951. The next prime is 993923977. The reversal of 993923964 is 469329399.

It is an interprime number because it is at equal distance from previous prime (993923951) and next prime (993923977).

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

It is a self number, because there is not a number n which added to its sum of digits gives 993923964.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15399 + ... + 47169.

Almost surely, 2^993923964 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 993923964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387800960).

993923964 is an abundant number, since it is smaller than the sum of its proper divisors (1781677956).

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

993923964 is a wasteful number, since it uses less digits than its factorization.

993923964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31871 (or 31866 counting only the distinct ones).

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

The square root of 993923964 is about 31526.5596600707. The cubic root of 993923964 is about 997.9705387399.

The spelling of 993923964 in words is "nine hundred ninety-three million, nine hundred twenty-three thousand, nine hundred sixty-four".