189087264 has 96 divisors (see below), whose sum is σ = 557928000. Its totient is φ = 62295552.

The previous prime is 189087247. The next prime is 189087281. The reversal of 189087264 is 462780981.

It is an interprime number because it is at equal distance from previous prime (189087247) and next prime (189087281).

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 15 ways as a sum of consecutive naturals, for example, 75667 + ... + 78125.

It is an arithmetic number, because the mean of its divisors is an integer number (5811750).

Almost surely, 2^189087264 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 189087264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278964000).

189087264 is an abundant number, since it is smaller than the sum of its proper divisors (368840736).

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

189087264 is a wasteful number, since it uses less digits than its factorization.

189087264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 189087264 is about 13750.9004796050. The cubic root of 189087264 is about 573.9676640074.

The spelling of 189087264 in words is "one hundred eighty-nine million, eighty-seven thousand, two hundred sixty-four".