993629680 has 20 divisors (see below), whose sum is σ = 2310189192. Its totient is φ = 397451840.

The previous prime is 993629657. The next prime is 993629699. The reversal of 993629680 is 86926399.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6210106 + ... + 6210265.

Almost surely, 2^993629680 is an apocalyptic number.

It is an amenable number.

993629680 is an abundant number, since it is smaller than the sum of its proper divisors (1316559512).

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

993629680 is a wasteful number, since it uses less digits than its factorization.

993629680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12420384 (or 12420378 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 52.

The square root of 993629680 is about 31521.8920751912. The cubic root of 993629680 is about 997.8720349768.

The spelling of 993629680 in words is "nine hundred ninety-three million, six hundred twenty-nine thousand, six hundred eighty".