190010880 has 160 divisors (see below), whose sum is σ = 675180000. Its totient is φ = 50651136.

The previous prime is 190010869. The next prime is 190010911. The reversal of 190010880 is 88010091.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×190010880² = 72208269036748800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 67746 + ... + 70494.

It is an arithmetic number, because the mean of its divisors is an integer number (4219875).

Almost surely, 2^190010880 is an apocalyptic number.

190010880 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 190010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337590000).

190010880 is an abundant number, since it is smaller than the sum of its proper divisors (485169120).

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

190010880 is an equidigital number, since it uses as much as digits as its factorization.

190010880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 190010880 is about 13784.4434055206. The cubic root of 190010880 is about 574.9006810184.

The spelling of 190010880 in words is "one hundred ninety million, ten thousand, eight hundred eighty".