1993658880 has 160 divisors (see below), whose sum is σ = 6522778944. Its totient is φ = 519192576.

The previous prime is 1993658879. The next prime is 1993658881. The reversal of 1993658880 is 888563991.

It is an interprime number because it is at equal distance from previous prime (1993658879) and next prime (1993658881).

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 1993658880.

It is not an unprimeable number, because it can be changed into a prime (1993658881) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 327222 + ... + 333258.

Almost surely, 2^1993658880 is an apocalyptic number.

1993658880 is a gapful number since it is divisible by the number (10) 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 1993658880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261389472).

1993658880 is an abundant number, since it is smaller than the sum of its proper divisors (4529120064).

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

1993658880 is an equidigital number, since it uses as much as digits as its factorization.

1993658880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6106 (or 6090 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 57.

The square root of 1993658880 is about 44650.4073889590. The cubic root of 1993658880 is about 1258.5880883946.

The spelling of 1993658880 in words is "one billion, nine hundred ninety-three million, six hundred fifty-eight thousand, eight hundred eighty".