19900944 has 80 divisors (see below), whose sum is σ = 65293440. Its totient is φ = 5685120.

The previous prime is 19900927. The next prime is 19900967. The reversal of 19900944 is 44900991.

It is a super-2 number, since 2×19900944² = 792095144182272, 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 = 19900899 and 19900908.

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 15 ways as a sum of consecutive naturals, for example, 267 + ... + 6314.

It is an arithmetic number, because the mean of its divisors is an integer number (816168).

Almost surely, 2^19900944 is an apocalyptic number.

19900944 is a gapful number since it is divisible by the number (14) 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 19900944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32646720).

19900944 is an abundant number, since it is smaller than the sum of its proper divisors (45392496).

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

19900944 is a wasteful number, since it uses less digits than its factorization.

19900944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6605 (or 6593 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 19900944 is about 4461.0474106425. The cubic root of 19900944 is about 270.9928875282.

The spelling of 19900944 in words is "nineteen million, nine hundred thousand, nine hundred forty-four".