993010160 has 40 divisors (see below), whose sum is σ = 2365067376. Its totient is φ = 387514880.

The previous prime is 993010159. The next prime is 993010177. The reversal of 993010160 is 61010399.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×993010160³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148094 + ... + 154653.

Almost surely, 2^993010160 is an apocalyptic number.

It is an amenable number.

993010160 is an abundant number, since it is smaller than the sum of its proper divisors (1372057216).

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

993010160 is a wasteful number, since it uses less digits than its factorization.

993010160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302801 (or 302795 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 29.

The square root of 993010160 is about 31512.0637216924. The cubic root of 993010160 is about 997.6646035023.

The spelling of 993010160 in words is "nine hundred ninety-three million, ten thousand, one hundred sixty".