993885690 has 128 divisors (see below), whose sum is σ = 2786918400. Its totient is φ = 222163200.

The previous prime is 993885689. The next prime is 993885691. The reversal of 993885690 is 96588399.

It is an interprime number because it is at equal distance from previous prime (993885689) and next prime (993885691).

It is a super-2 number, since 2×993885690² = 1975617529573552200, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 993885690.

It is not an unprimeable number, because it can be changed into a prime (993885691) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2847636 + ... + 2847984.

It is an arithmetic number, because the mean of its divisors is an integer number (21772800).

Almost surely, 2^993885690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993885690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393459200).

993885690 is an abundant number, since it is smaller than the sum of its proper divisors (1793032710).

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

993885690 is a wasteful number, since it uses less digits than its factorization.

993885690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628.

The product of its (nonzero) digits is 4199040, while the sum is 57.

The square root of 993885690 is about 31525.9526422280. The cubic root of 993885690 is about 997.9577286337.

The spelling of 993885690 in words is "nine hundred ninety-three million, eight hundred eighty-five thousand, six hundred ninety".