993632040 has 96 divisors (see below), whose sum is σ = 3316627080. Its totient is φ = 257803776.

The previous prime is 993632021. The next prime is 993632047. The reversal of 993632040 is 40236399.

It is a happy number.

993632040 is a `hidden beast` number, since 99 + 363 + 204 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 992628036 + 1004004 = 31506^2 + 1002^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 993631986 and 993632004.

It is not an unprimeable number, because it can be changed into a prime (993632047) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 23979 + ... + 50618.

Almost surely, 2^993632040 is an apocalyptic number.

993632040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

993632040 is an abundant number, since it is smaller than the sum of its proper divisors (2322995040).

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

993632040 is a wasteful number, since it uses less digits than its factorization.

993632040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74651 (or 74644 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 993632040 is about 31521.9295094701. The cubic root of 993632040 is about 997.8728250016.

The spelling of 993632040 in words is "nine hundred ninety-three million, six hundred thirty-two thousand, forty".