189749376 has 96 divisors (see below), whose sum is σ = 578202300. Its totient is φ = 59523072.

The previous prime is 189749347. The next prime is 189749383. The reversal of 189749376 is 673947981.

It is a happy number.

189749376 is a `hidden beast` number, since 1 + 89 + 7 + 493 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 183873600 + 5875776 = 13560^2 + 2424^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14740 + ... + 24428.

Almost surely, 2^189749376 is an apocalyptic number.

189749376 is a gapful number since it is divisible by the number (16) 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 189749376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289101150).

189749376 is an abundant number, since it is smaller than the sum of its proper divisors (388452924).

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

189749376 is a wasteful number, since it uses less digits than its factorization.

189749376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9726 (or 9711 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 189749376 is about 13774.9546641722. The cubic root of 189749376 is about 574.6368227088.

The spelling of 189749376 in words is "one hundred eighty-nine million, seven hundred forty-nine thousand, three hundred seventy-six".