190780920 has 320 divisors, whose sum is σ = 719785440. Its totient is φ = 44928000.

The previous prime is 190780903. The next prime is 190780927. The reversal of 190780920 is 29087091.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190780927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1888870 + ... + 1888970.

Almost surely, 2^190780920 is an apocalyptic number.

190780920 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 190780920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359892720).

190780920 is an abundant number, since it is smaller than the sum of its proper divisors (529004520).

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

190780920 is a wasteful number, since it uses less digits than its factorization.

190780920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 190780920 is about 13812.3466507325. The cubic root of 190780920 is about 575.6762503573.

The spelling of 190780920 in words is "one hundred ninety million, seven hundred eighty thousand, nine hundred twenty".