19742688 has 108 divisors (see below), whose sum is σ = 65356200. Its totient is φ = 5636736.

The previous prime is 19742687. The next prime is 19742693. The reversal of 19742688 is 88624791.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19742687) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13413 + ... + 14811.

It is an arithmetic number, because the mean of its divisors is an integer number (605150).

Almost surely, 2^19742688 is an apocalyptic number.

19742688 is a gapful number since it is divisible by the number (18) 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 19742688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32678100).

19742688 is an abundant number, since it is smaller than the sum of its proper divisors (45613512).

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

19742688 is a wasteful number, since it uses less digits than its factorization.

19742688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1411 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 19742688 is about 4443.2744682272. The cubic root of 19742688 is about 270.2726463993.

The spelling of 19742688 in words is "nineteen million, seven hundred forty-two thousand, six hundred eighty-eight".