190560 has 48 divisors (see below), whose sum is σ = 601776. Its totient is φ = 50688.

The previous prime is 190543. The next prime is 190573. The reversal of 190560 is 65091.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×190560² = 72626227200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

190560 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282 + ... + 678.

It is an arithmetic number, because the mean of its divisors is an integer number (12537).

2¹⁹⁰⁵⁶⁰ is an apocalyptic number.

190560 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 190560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300888).

190560 is an abundant number, since it is smaller than the sum of its proper divisors (411216).

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

190560 is a wasteful number, since it uses less digits than its factorization.

190560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 190560 is about 436.5317857843. The cubic root of 190560 is about 57.5453957830.

The spelling of 190560 in words is "one hundred ninety thousand, five hundred sixty".