190356768 has 288 divisors, whose sum is σ = 660441600. Its totient is φ = 51932160.

The previous prime is 190356757. The next prime is 190356773. The reversal of 190356768 is 867653091.

It is a happy number.

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

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, 4050121 + ... + 4050167.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 2^190356768 is an apocalyptic number.

190356768 is a gapful number since it is divisible by the number (18) 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 190356768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330220800).

190356768 is an abundant number, since it is smaller than the sum of its proper divisors (470084832).

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

190356768 is a wasteful number, since it uses less digits than its factorization.

190356768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 190356768 is about 13796.9840182556. The cubic root of 190356768 is about 575.2493114204.

The spelling of 190356768 in words is "one hundred ninety million, three hundred fifty-six thousand, seven hundred sixty-eight".