993335040 has 324 divisors, whose sum is σ = 3614801736. Its totient is φ = 251817984.

The previous prime is 993335027. The next prime is 993335081. The reversal of 993335040 is 40533399.

It is a happy number.

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 = 993334986 and 993335004.

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 35 ways as a sum of consecutive naturals, for example, 6093999 + ... + 6094161.

Almost surely, 2^993335040 is an apocalyptic number.

993335040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807400868).

993335040 is an abundant number, since it is smaller than the sum of its proper divisors (2621466696).

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

993335040 is a wasteful number, since it uses less digits than its factorization.

993335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 993335040 is about 31517.2181513534. The cubic root of 993335040 is about 997.7733925657.

The spelling of 993335040 in words is "nine hundred ninety-three million, three hundred thirty-five thousand, forty".