19688130 has 128 divisors (see below), whose sum is σ = 65525760. Its totient is φ = 4086720.

The previous prime is 19688117. The next prime is 19688147. The reversal of 19688130 is 3188691.

19688130 = 825² + 826² + ... + 852².

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 20317 + ... + 21263.

It is an arithmetic number, because the mean of its divisors is an integer number (511920).

Almost surely, 2^19688130 is an apocalyptic number.

19688130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19688130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32762880).

19688130 is an abundant number, since it is smaller than the sum of its proper divisors (45837630).

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

19688130 is a wasteful number, since it uses less digits than its factorization.

19688130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 19688130 is about 4437.1308297142. The cubic root of 19688130 is about 270.0234547526.

The spelling of 19688130 in words is "nineteen million, six hundred eighty-eight thousand, one hundred thirty".