189801792 has 280 divisors, whose sum is σ = 619597440. Its totient is φ = 57231360.

The previous prime is 189801779. The next prime is 189801847. The reversal of 189801792 is 297108981.

It is a super-2 number, since 2×189801792² = 72049440492822528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4038313 + ... + 4038359.

It is an arithmetic number, because the mean of its divisors is an integer number (2212848).

Almost surely, 2^189801792 is an apocalyptic number.

189801792 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 189801792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309798720).

189801792 is an abundant number, since it is smaller than the sum of its proper divisors (429795648).

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

189801792 is a wasteful number, since it uses less digits than its factorization.

189801792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 189801792 is about 13776.8571161931. The cubic root of 189801792 is about 574.6897300250.

The spelling of 189801792 in words is "one hundred eighty-nine million, eight hundred one thousand, seven hundred ninety-two".