189876960 has 720 divisors, whose sum is σ = 875974176. Its totient is φ = 38320128.

The previous prime is 189876959. The next prime is 189876971. The reversal of 189876960 is 69678981.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 189876897 and 189876906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8255509 + ... + 8255531.

Almost surely, 2^189876960 is an apocalyptic number.

189876960 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 189876960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437987088).

189876960 is an abundant number, since it is smaller than the sum of its proper divisors (686097216).

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

189876960 is a wasteful number, since it uses less digits than its factorization.

189876960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 189876960 is about 13779.5848994083. The cubic root of 189876960 is about 574.7655856070.

The spelling of 189876960 in words is "one hundred eighty-nine million, eight hundred seventy-six thousand, nine hundred sixty".