189792000 has 216 divisors, whose sum is σ = 683963280. Its totient is φ = 50534400.

The previous prime is 189791989. The next prime is 189792011. The reversal of 189792000 is 297981.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (189791989) and next prime (189792011).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287671 + ... + 288329.

Almost surely, 2^189792000 is an apocalyptic number.

189792000 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 189792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341981640).

189792000 is an abundant number, since it is smaller than the sum of its proper divisors (494171280).

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

189792000 is an equidigital number, since it uses as much as digits as its factorization.

189792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 189792000 is about 13776.5017330235. The cubic root of 189792000 is about 574.6798469806.

The spelling of 189792000 in words is "one hundred eighty-nine million, seven hundred ninety-two thousand".