993959820 has 144 divisors (see below), whose sum is σ = 3557019648. Its totient is φ = 219853440.

The previous prime is 993959809. The next prime is 993959839. The reversal of 993959820 is 28959399.

It is a super-2 number, since 2×993959820² = 1975912247548864800, which contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 26337 + ... + 51783.

Almost surely, 2^993959820 is an apocalyptic number.

993959820 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 993959820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778509824).

993959820 is an abundant number, since it is smaller than the sum of its proper divisors (2563059828).

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

993959820 is a wasteful number, since it uses less digits than its factorization.

993959820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25500 (or 25495 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The square root of 993959820 is about 31527.1283183229. The cubic root of 993959820 is about 997.9825392559.

The spelling of 993959820 in words is "nine hundred ninety-three million, nine hundred fifty-nine thousand, eight hundred twenty".