19642656 has 144 divisors (see below), whose sum is σ = 60328800. Its totient is φ = 5575680.

The previous prime is 19642643. The next prime is 19642661. The reversal of 19642656 is 65624691.

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 23 ways as a sum of consecutive naturals, for example, 220660 + ... + 220748.

It is an arithmetic number, because the mean of its divisors is an integer number (418950).

Almost surely, 2^19642656 is an apocalyptic number.

19642656 is a gapful number since it is divisible by the number (16) 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 19642656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30164400).

19642656 is an abundant number, since it is smaller than the sum of its proper divisors (40686144).

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

19642656 is a wasteful number, since it uses less digits than its factorization.

19642656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 19642656 is about 4432.0036101068. The cubic root of 19642656 is about 269.8154019404.

The spelling of 19642656 in words is "nineteen million, six hundred forty-two thousand, six hundred fifty-six".