1993232640 has 288 divisors, whose sum is σ = 7529114880. Its totient is φ = 439713792.

The previous prime is 1993232627. The next prime is 1993232653. The reversal of 1993232640 is 462323991.

It is an interprime number because it is at equal distance from previous prime (1993232627) and next prime (1993232653).

It is a super-2 number, since 2×1993232640² = 7945952714322739200, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 778242 + ... + 780798.

It is an arithmetic number, because the mean of its divisors is an integer number (26142760).

Almost surely, 2^1993232640 is an apocalyptic number.

1993232640 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 1993232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764557440).

1993232640 is an abundant number, since it is smaller than the sum of its proper divisors (5535882240).

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

1993232640 is a wasteful number, since it uses less digits than its factorization.

1993232640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2617 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 1993232640 is about 44645.6340530628. The cubic root of 1993232640 is about 1258.4983875222.

The spelling of 1993232640 in words is "one billion, nine hundred ninety-three million, two hundred thirty-two thousand, six hundred forty".