189106560 has 96 divisors (see below), whose sum is σ = 653028480. Its totient is φ = 50426880.

The previous prime is 189106559. The next prime is 189106571. The reversal of 189106560 is 65601981.

189106560 is a `hidden beast` number, since 1 + 8 + 91 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×189106560² = 71522582070067200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10656 + ... + 22175.

It is an arithmetic number, because the mean of its divisors is an integer number (6802380).

Almost surely, 2^189106560 is an apocalyptic number.

189106560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189106560 is an abundant number, since it is smaller than the sum of its proper divisors (463921920).

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

189106560 is a wasteful number, since it uses less digits than its factorization.

189106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32856 (or 32841 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 189106560 is about 13751.6020884841. The cubic root of 189106560 is about 573.9871874505.

The spelling of 189106560 in words is "one hundred eighty-nine million, one hundred six thousand, five hundred sixty".