189915264 has 192 divisors, whose sum is σ = 681670080. Its totient is φ = 49305600.

The previous prime is 189915247. The next prime is 189915293. The reversal of 189915264 is 462519981.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87634 + ... + 89774.

It is an arithmetic number, because the mean of its divisors is an integer number (3550365).

Almost surely, 2^189915264 is an apocalyptic number.

189915264 is a gapful number since it is divisible by the number (14) 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 189915264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340835040).

189915264 is an abundant number, since it is smaller than the sum of its proper divisors (491754816).

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

189915264 is a wasteful number, since it uses less digits than its factorization.

189915264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2164 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 189915264 is about 13780.9747115362. The cubic root of 189915264 is about 574.8042322842.

The spelling of 189915264 in words is "one hundred eighty-nine million, nine hundred fifteen thousand, two hundred sixty-four".