993056564 has 24 divisors (see below), whose sum is σ = 1843135560. Its totient is φ = 466543616.

The previous prime is 993056551. The next prime is 993056567. The reversal of 993056564 is 465650399.

It can be written as a sum of positive squares in 4 ways, for example, as 23232400 + 969824164 = 4820^2 + 31142^2 .

It is a super-2 number, since 2×993056564² = 1972322678606972192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993056567) 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, 30122 + ... + 53790.

It is an arithmetic number, because the mean of its divisors is an integer number (76797315).

Almost surely, 2^993056564 is an apocalyptic number.

It is an amenable number.

993056564 is a deficient number, since it is larger than the sum of its proper divisors (850078996).

993056564 is a wasteful number, since it uses less digits than its factorization.

993056564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24307 (or 24305 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 47.

The square root of 993056564 is about 31512.8000025387. The cubic root of 993056564 is about 997.6801437620.

The spelling of 993056564 in words is "nine hundred ninety-three million, fifty-six thousand, five hundred sixty-four".