993137940 has 36 divisors (see below), whose sum is σ = 3012518964. Its totient is φ = 264836736.

The previous prime is 993137897. The next prime is 993137969. The reversal of 993137940 is 49731399.

It can be written as a sum of positive squares in 2 ways, for example, as 665020944 + 328116996 = 25788^2 + 18114^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2758537 + ... + 2758896.

Almost surely, 2^993137940 is an apocalyptic number.

993137940 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

993137940 is an abundant number, since it is smaller than the sum of its proper divisors (2019381024).

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

993137940 is a wasteful number, since it uses less digits than its factorization.

993137940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5517448 (or 5517443 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 993137940 is about 31514.0911339674. The cubic root of 993137940 is about 997.7073946440.

The spelling of 993137940 in words is "nine hundred ninety-three million, one hundred thirty-seven thousand, nine hundred forty".