189780864 has 128 divisors (see below), whose sum is σ = 620551680. Its totient is φ = 50042880.

The previous prime is 189780859. The next prime is 189780907. The reversal of 189780864 is 468087981.

189780864 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 32229 + ... + 37659.

It is an arithmetic number, because the mean of its divisors is an integer number (4848060).

Almost surely, 2^189780864 is an apocalyptic number.

189780864 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 189780864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310275840).

189780864 is an abundant number, since it is smaller than the sum of its proper divisors (430770816).

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

189780864 is a wasteful number, since it uses less digits than its factorization.

189780864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5468 (or 5456 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The square root of 189780864 is about 13776.0975606302. The cubic root of 189780864 is about 574.6686070267.

The spelling of 189780864 in words is "one hundred eighty-nine million, seven hundred eighty thousand, eight hundred sixty-four".