993506220 has 72 divisors (see below), whose sum is σ = 3444159264. Its totient is φ = 227086848.

The previous prime is 993506209. The next prime is 993506221. The reversal of 993506220 is 22605399.

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

It is not an unprimeable number, because it can be changed into a prime (993506221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 392989 + ... + 395508.

Almost surely, 2^993506220 is an apocalyptic number.

993506220 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

993506220 is an abundant number, since it is smaller than the sum of its proper divisors (2450653044).

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

993506220 is a wasteful number, since it uses less digits than its factorization.

993506220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788519 (or 788514 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 993506220 is about 31519.9336928237. The cubic root of 993506220 is about 997.8307042253.

It can be divided in two parts, 99350 and 6220, that added together give a triangular number (105570 = T₄₅₉).

The spelling of 993506220 in words is "nine hundred ninety-three million, five hundred six thousand, two hundred twenty".