993515648 has 32 divisors (see below), whose sum is σ = 1986335760. Its totient is φ = 494984448.

The previous prime is 993515629. The next prime is 993515737. The reversal of 993515648 is 846515399.

It is a happy number.

993515648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×993515648³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 993515596 and 993515605.

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, 22511 + ... + 49937.

Almost surely, 2^993515648 is an apocalyptic number.

It is an amenable number.

993515648 is a deficient number, since it is larger than the sum of its proper divisors (992820112).

993515648 is a wasteful number, since it uses less digits than its factorization.

993515648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27724 (or 27712 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 50.

The square root of 993515648 is about 31520.0832486210. The cubic root of 993515648 is about 997.8338605612.

The spelling of 993515648 in words is "nine hundred ninety-three million, five hundred fifteen thousand, six hundred forty-eight".