201190080 has 448 divisors, whose sum is σ = 819302400. Its totient is φ = 41545728.

The previous prime is 201190043. The next prime is 201190103. The reversal of 201190080 is 80091102.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4280617 + ... + 4280663.

It is an arithmetic number, because the mean of its divisors is an integer number (1828800).

Almost surely, 2^201190080 is an apocalyptic number.

201190080 is a gapful number since it is divisible by the number (20) 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 201190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409651200).

201190080 is an abundant number, since it is smaller than the sum of its proper divisors (618112320).

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

201190080 is a wasteful number, since it uses less digits than its factorization.

201190080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 201190080 is about 14184.1488993877. The cubic root of 201190080 is about 585.9611928624.

The spelling of 201190080 in words is "two hundred one million, one hundred ninety thousand, eighty".