119993664 has 224 divisors, whose sum is σ = 395345920. Its totient is φ = 31352832.

The previous prime is 119993623. The next prime is 119993689. The reversal of 119993664 is 466399911.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 944769 + ... + 944895.

Almost surely, 2^119993664 is an apocalyptic number.

119993664 is a gapful number since it is divisible by the number (14) 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 119993664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197672960).

119993664 is an abundant number, since it is smaller than the sum of its proper divisors (275352256).

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

119993664 is a wasteful number, since it uses less digits than its factorization.

119993664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 195 counting only the distinct ones).

The product of its digits is 314928, while the sum is 48.

The square root of 119993664 is about 10954.1619487755. The cubic root of 119993664 is about 493.2337336468.

The spelling of 119993664 in words is "one hundred nineteen million, nine hundred ninety-three thousand, six hundred sixty-four".