993261312 has 288 divisors, whose sum is σ = 3178828800. Its totient is φ = 304791552.

The previous prime is 993261307. The next prime is 993261323. The reversal of 993261312 is 213162399.

It is a happy number.

993261312 is a `hidden beast` number, since 9 + 9 + 32 + 613 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×993261312² = 1973136067831922688, which contains 22 as substring.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9282763 + ... + 9282869.

It is an arithmetic number, because the mean of its divisors is an integer number (11037600).

Almost surely, 2^993261312 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 993261312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589414400).

993261312 is an abundant number, since it is smaller than the sum of its proper divisors (2185567488).

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

993261312 is a wasteful number, since it uses less digits than its factorization.

993261312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 208 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 993261312 is about 31516.0484832728. The cubic root of 993261312 is about 997.7487061461.

The spelling of 993261312 in words is "nine hundred ninety-three million, two hundred sixty-one thousand, three hundred twelve".