1993997376 has 504 divisors, whose sum is σ = 7155143424. Its totient is φ = 528353280.

The previous prime is 1993997363. The next prime is 1993997387. The reversal of 1993997376 is 6737993991.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37622566 + ... + 37622618.

Almost surely, 2^1993997376 is an apocalyptic number.

1993997376 is a gapful number since it is divisible by the number (16) 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 1993997376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577571712).

1993997376 is an abundant number, since it is smaller than the sum of its proper divisors (5161146048).

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

1993997376 is a wasteful number, since it uses less digits than its factorization.

1993997376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 139 counting only the distinct ones).

The product of its digits is 17360406, while the sum is 63.

The square root of 1993997376 is about 44654.1977422056. The cubic root of 1993997376 is about 1258.6593147094.

The spelling of 1993997376 in words is "one billion, nine hundred ninety-three million, nine hundred ninety-seven thousand, three hundred seventy-six".