189996960 has 192 divisors, whose sum is σ = 640120320. Its totient is φ = 47232000.

The previous prime is 189996959. The next prime is 189996971. The reversal of 189996960 is 69699981.

189996960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 189996960.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 756835 + ... + 757085.

It is an arithmetic number, because the mean of its divisors is an integer number (3333960).

Almost surely, 2^189996960 is an apocalyptic number.

189996960 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 189996960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320060160).

189996960 is an abundant number, since it is smaller than the sum of its proper divisors (450123360).

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

189996960 is a wasteful number, since it uses less digits than its factorization.

189996960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 57.

The square root of 189996960 is about 13783.9384792591. The cubic root of 189996960 is about 574.8866417997.

The spelling of 189996960 in words is "one hundred eighty-nine million, nine hundred ninety-six thousand, nine hundred sixty".