19810944 has 96 divisors (see below), whose sum is σ = 59073300. Its totient is φ = 6365184.

The previous prime is 19810937. The next prime is 19810951. The reversal of 19810944 is 44901891.

It is an interprime number because it is at equal distance from previous prime (19810937) and next prime (19810951).

It can be written as a sum of positive squares in 2 ways, for example, as 19713600 + 97344 = 4440^2 + 312^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×19810944² = 784947004342272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19810899 and 19810908.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33112 + ... + 33704.

Almost surely, 2^19810944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19810944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29536650).

19810944 is an abundant number, since it is smaller than the sum of its proper divisors (39262356).

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

19810944 is a wasteful number, since it uses less digits than its factorization.

19810944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 627 counting only the distinct ones).

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

The square root of 19810944 is about 4450.9486629257. The cubic root of 19810944 is about 270.5837575448.

The spelling of 19810944 in words is "nineteen million, eight hundred ten thousand, nine hundred forty-four".