190080000 has 440 divisors, whose sum is σ = 767379360. Its totient is φ = 46080000.

The previous prime is 190079987. The next prime is 190080001. The reversal of 190080000 is 80091.

It is a tau number, because it is divible by the number of its divisors (440).

It is a super-2 number, since 2×190080000² = 72260812800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (190080001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17279995 + ... + 17280005.

It is an arithmetic number, because the mean of its divisors is an integer number (1744044).

Almost surely, 2^190080000 is an apocalyptic number.

190080000 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 190080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383689680).

190080000 is an abundant number, since it is smaller than the sum of its proper divisors (577299360).

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

190080000 is an equidigital number, since it uses as much as digits as its factorization.

190080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 190080000 is about 13786.9503516913. The cubic root of 190080000 is about 574.9703828475.

The spelling of 190080000 in words is "one hundred ninety million, eighty thousand".