189081600 has 144 divisors (see below), whose sum is σ = 625584960. Its totient is φ = 50380800.

The previous prime is 189081593. The next prime is 189081631. The reversal of 189081600 is 6180981.

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, 152985 + ... + 154215.

It is an arithmetic number, because the mean of its divisors is an integer number (4344340).

Almost surely, 2^189081600 is an apocalyptic number.

189081600 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 189081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312792480).

189081600 is an abundant number, since it is smaller than the sum of its proper divisors (436503360).

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

189081600 is a wasteful number, since it uses less digits than its factorization.

189081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 189081600 is about 13750.6945279139. The cubic root of 189081600 is about 573.9619329933.

The spelling of 189081600 in words is "one hundred eighty-nine million, eighty-one thousand, six hundred".