190224960 has 112 divisors (see below), whose sum is σ = 635812800. Its totient is φ = 48052224.

The previous prime is 190224929. The next prime is 190224967. The reversal of 190224960 is 69422091.

It is not an unprimeable number, because it can be changed into a prime (190224967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13026 + ... + 23454.

It is an arithmetic number, because the mean of its divisors is an integer number (5676900).

Almost surely, 2^190224960 is an apocalyptic number.

190224960 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 190224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317906400).

190224960 is an abundant number, since it is smaller than the sum of its proper divisors (445587840).

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

190224960 is a wasteful number, since it uses less digits than its factorization.

190224960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10468 (or 10458 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 190224960 is about 13792.2064949739. The cubic root of 190224960 is about 575.1165082122.

It can be divided in two parts, 1902 and 24960, that added together give a palindrome (26862).

The spelling of 190224960 in words is "one hundred ninety million, two hundred twenty-four thousand, nine hundred sixty".