189859680 has 192 divisors, whose sum is σ = 674956800. Its totient is φ = 49835520.

The previous prime is 189859667. The next prime is 189859693. The reversal of 189859680 is 86958981.

It is an interprime number because it is at equal distance from previous prime (189859667) and next prime (189859693).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 306411 + ... + 307029.

It is an arithmetic number, because the mean of its divisors is an integer number (3515400).

Almost surely, 2^189859680 is an apocalyptic number.

189859680 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 189859680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337478400).

189859680 is an abundant number, since it is smaller than the sum of its proper divisors (485097120).

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

189859680 is a wasteful number, since it uses less digits than its factorization.

189859680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The square root of 189859680 is about 13778.9578706084. The cubic root of 189859680 is about 574.7481493145.

The spelling of 189859680 in words is "one hundred eighty-nine million, eight hundred fifty-nine thousand, six hundred eighty".