189089280 has 240 divisors, whose sum is σ = 679844880. Its totient is φ = 48513024.

The previous prime is 189089237. The next prime is 189089287. The reversal of 189089280 is 82980981.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189089287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 668019 + ... + 668301.

It is an arithmetic number, because the mean of its divisors is an integer number (2832687).

Almost surely, 2^189089280 is an apocalyptic number.

189089280 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 189089280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339922440).

189089280 is an abundant number, since it is smaller than the sum of its proper divisors (490755600).

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

189089280 is a wasteful number, since it uses less digits than its factorization.

189089280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 189089280 is about 13750.9737836998. The cubic root of 189089280 is about 573.9697038322.

The spelling of 189089280 in words is "one hundred eighty-nine million, eighty-nine thousand, two hundred eighty".