19129680 has 90 divisors (see below), whose sum is σ = 64640394. Its totient is φ = 5069952.

The previous prime is 19129679. The next prime is 19129681. The reversal of 19129680 is 8692191.

It is an interprime number because it is at equal distance from previous prime (19129679) and next prime (19129681).

It can be written as a sum of positive squares in only one way, i.e., 15303744 + 3825936 = 3912^2 + 1956^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 (19129681) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 117279 + ... + 117441.

Almost surely, 2^19129680 is an apocalyptic number.

19129680 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 19129680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32320197).

19129680 is an abundant number, since it is smaller than the sum of its proper divisors (45510714).

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

19129680 is a wasteful number, since it uses less digits than its factorization.

19129680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 19129680 is about 4373.7489639896. The cubic root of 19129680 is about 267.4458736966.

The spelling of 19129680 in words is "nineteen million, one hundred twenty-nine thousand, six hundred eighty".