993976512 has 28 divisors (see below), whose sum is σ = 2629896696. Its totient is φ = 331325440.

The previous prime is 993976483. The next prime is 993976567. The reversal of 993976512 is 215679399.

It is a happy number.

993976512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×993976512³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2588289 + ... + 2588672.

It is an arithmetic number, because the mean of its divisors is an integer number (93924882).

Almost surely, 2^993976512 is an apocalyptic number.

It is an amenable number.

993976512 is an abundant number, since it is smaller than the sum of its proper divisors (1635920184).

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

993976512 is a wasteful number, since it uses less digits than its factorization.

993976512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5176976 (or 5176966 counting only the distinct ones).

The product of its digits is 918540, while the sum is 51.

The square root of 993976512 is about 31527.3930416075. The cubic root of 993976512 is about 997.9881257431.

The spelling of 993976512 in words is "nine hundred ninety-three million, nine hundred seventy-six thousand, five hundred twelve".