993413340 has 72 divisors (see below), whose sum is σ = 3021087888. Its totient is φ = 264230400.

The previous prime is 993413329. The next prime is 993413341. The reversal of 993413340 is 43314399.

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 = 993413295 and 993413304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993413341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65299 + ... + 79061.

It is an arithmetic number, because the mean of its divisors is an integer number (41959554).

Almost surely, 2^993413340 is an apocalyptic number.

993413340 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 993413340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510543944).

993413340 is an abundant number, since it is smaller than the sum of its proper divisors (2027674548).

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

993413340 is a wasteful number, since it uses less digits than its factorization.

993413340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14179 (or 14174 counting only the distinct ones).

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

The square root of 993413340 is about 31518.4603050339. The cubic root of 993413340 is about 997.7996084951.

The spelling of 993413340 in words is "nine hundred ninety-three million, four hundred thirteen thousand, three hundred forty".