19890080 has 144 divisors (see below), whose sum is σ = 56881440. Its totient is φ = 6547968.

The previous prime is 19890061. The next prime is 19890083. The reversal of 19890080 is 8009891.

It is a happy number.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 19890080.

It is not an unprimeable number, because it can be changed into a prime (19890083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337091 + ... + 337149.

It is an arithmetic number, because the mean of its divisors is an integer number (395010).

Almost surely, 2^19890080 is an apocalyptic number.

19890080 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 19890080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28440720).

19890080 is an abundant number, since it is smaller than the sum of its proper divisors (36991360).

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

19890080 is a wasteful number, since it uses less digits than its factorization.

19890080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 35.

The square root of 19890080 is about 4459.8295931571. The cubic root of 19890080 is about 270.9435665409.

The spelling of 19890080 in words is "nineteen million, eight hundred ninety thousand, eighty".