190919680 has 132 divisors (see below), whose sum is σ = 533456388. Its totient is φ = 65372160.

The previous prime is 190919647. The next prime is 190919681. The reversal of 190919680 is 86919091.

190919680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 22127616 + 168792064 = 4704^2 + 12992^2 .

It is a super-2 number, since 2×190919680² = 72900648422604800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190919681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250500 + ... + 251260.

Almost surely, 2^190919680 is an apocalyptic number.

190919680 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 190919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266728194).

190919680 is an abundant number, since it is smaller than the sum of its proper divisors (342536708).

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

190919680 is an equidigital number, since it uses as much as digits as its factorization.

190919680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 43.

The square root of 190919680 is about 13817.3687799089. The cubic root of 190919680 is about 575.8157847123.

The spelling of 190919680 in words is "one hundred ninety million, nine hundred nineteen thousand, six hundred eighty".