189471264 has 48 divisors (see below), whose sum is σ = 502514208. Its totient is φ = 62502912.

The previous prime is 189471259. The next prime is 189471277. The reversal of 189471264 is 462174981.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 862 + ... + 19485.

It is an arithmetic number, because the mean of its divisors is an integer number (10469046).

Almost surely, 2^189471264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189471264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251257104).

189471264 is an abundant number, since it is smaller than the sum of its proper divisors (313042944).

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

189471264 is a wasteful number, since it uses less digits than its factorization.

189471264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20457 (or 20449 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 189471264 is about 13764.8561198438. The cubic root of 189471264 is about 574.3559407343.

The spelling of 189471264 in words is "one hundred eighty-nine million, four hundred seventy-one thousand, two hundred sixty-four".