189987120 has 240 divisors, whose sum is σ = 686518560. Its totient is φ = 48771072.

The previous prime is 189987103. The next prime is 189987131. The reversal of 189987120 is 21789981.

189987120 is digitally balanced in base 2, because in such base 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 (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 563592 + ... + 563928.

It is an arithmetic number, because the mean of its divisors is an integer number (2860494).

Almost surely, 2^189987120 is an apocalyptic number.

189987120 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 189987120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343259280).

189987120 is an abundant number, since it is smaller than the sum of its proper divisors (496531440).

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

189987120 is a wasteful number, since it uses less digits than its factorization.

189987120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 189987120 is about 13783.5815374670. The cubic root of 189987120 is about 574.8767171107.

The spelling of 189987120 in words is "one hundred eighty-nine million, nine hundred eighty-seven thousand, one hundred twenty".