19130880 has 160 divisors (see below), whose sum is σ = 63638784. Its totient is φ = 4898816.

The previous prime is 19130869. The next prime is 19130939. The reversal of 19130880 is 8803191.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360934 + ... + 360986.

Almost surely, 2^19130880 is an apocalyptic number.

19130880 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 19130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31819392).

19130880 is an abundant number, since it is smaller than the sum of its proper divisors (44507904).

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

19130880 is an equidigital number, since it uses as much as digits as its factorization.

19130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 19130880 is about 4373.8861439228. The cubic root of 19130880 is about 267.4514658504.

The spelling of 19130880 in words is "nineteen million, one hundred thirty thousand, eight hundred eighty".