190890180 has 216 divisors, whose sum is σ = 652476552. Its totient is φ = 44900352.

The previous prime is 190890163. The next prime is 190890181. The reversal of 190890180 is 81098091.

It can be written as a sum of positive squares in 12 ways, for example, as 71774784 + 119115396 = 8472^2 + 10914^2 .

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 (190890181) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1967892 + ... + 1967988.

Almost surely, 2^190890180 is an apocalyptic number.

190890180 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 190890180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326238276).

190890180 is an abundant number, since it is smaller than the sum of its proper divisors (461586372).

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

190890180 is a wasteful number, since it uses less digits than its factorization.

190890180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 190890180 is about 13816.3012416493. The cubic root of 190890180 is about 575.7861257468.

The spelling of 190890180 in words is "one hundred ninety million, eight hundred ninety thousand, one hundred eighty".