190760960 has 96 divisors (see below), whose sum is σ = 493267320. Its totient is φ = 70385664.

The previous prime is 190760953. The next prime is 190760989. The reversal of 190760960 is 69067091.

It can be written as a sum of positive squares in 4 ways, for example, as 150209536 + 40551424 = 12256^2 + 6368^2 .

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 7 ways as a sum of consecutive naturals, for example, 132404 + ... + 133836.

Almost surely, 2^190760960 is an apocalyptic number.

190760960 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 190760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246633660).

190760960 is an abundant number, since it is smaller than the sum of its proper divisors (302506360).

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

190760960 is a wasteful number, since it uses less digits than its factorization.

190760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 38.

The square root of 190760960 is about 13811.6240898744. The cubic root of 190760960 is about 575.6561734043.

The spelling of 190760960 in words is "one hundred ninety million, seven hundred sixty thousand, nine hundred sixty".