993929040 has 120 divisors (see below), whose sum is σ = 3594743880. Its totient is φ = 244657152.

The previous prime is 993929033. The next prime is 993929119. The reversal of 993929040 is 40929399.

It can be written as a sum of positive squares in 4 ways, for example, as 166464 + 993762576 = 408^2 + 31524^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43735 + ... + 62454.

It is an arithmetic number, because the mean of its divisors is an integer number (29956199).

Almost surely, 2^993929040 is an apocalyptic number.

993929040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

993929040 is an abundant number, since it is smaller than the sum of its proper divisors (2600814840).

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

993929040 is a wasteful number, since it uses less digits than its factorization.

993929040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106221 (or 106212 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 993929040 is about 31526.6401635189. The cubic root of 993929040 is about 997.9722376257.

The spelling of 993929040 in words is "nine hundred ninety-three million, nine hundred twenty-nine thousand, forty".