193912992 has 288 divisors, whose sum is σ = 697132800. Its totient is φ = 50803200.

The previous prime is 193912987. The next prime is 193913003. The reversal of 193912992 is 299219391.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1284117 + ... + 1284267.

It is an arithmetic number, because the mean of its divisors is an integer number (2420600).

Almost surely, 2^193912992 is an apocalyptic number.

193912992 is a gapful number since it is divisible by the number (12) 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 193912992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348566400).

193912992 is an abundant number, since it is smaller than the sum of its proper divisors (503219808).

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

193912992 is a wasteful number, since it uses less digits than its factorization.

193912992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 176 counting only the distinct ones).

The product of its digits is 78732, while the sum is 45.

The square root of 193912992 is about 13925.2645217245. The cubic root of 193912992 is about 578.8094803019.

The spelling of 193912992 in words is "one hundred ninety-three million, nine hundred twelve thousand, nine hundred ninety-two".