19139680 has 96 divisors (see below), whose sum is σ = 53996544. Its totient is φ = 6268416.

The previous prime is 19139663. The next prime is 19139711. The reversal of 19139680 is 8693191.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25389 + ... + 26131.

It is an arithmetic number, because the mean of its divisors is an integer number (562464).

Almost surely, 2^19139680 is an apocalyptic number.

19139680 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 19139680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26998272).

19139680 is an abundant number, since it is smaller than the sum of its proper divisors (34856864).

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

19139680 is a wasteful number, since it uses less digits than its factorization.

19139680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 37.

The square root of 19139680 is about 4374.8919986669. The cubic root of 19139680 is about 267.4924678346.

The spelling of 19139680 in words is "nineteen million, one hundred thirty-nine thousand, six hundred eighty".