19926144 has 144 divisors (see below), whose sum is σ = 66890070. Its totient is φ = 5677056.

The previous prime is 19926143. The next prime is 19926209. The reversal of 19926144 is 44162991.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 17640000 + 2286144 = 4200^2 + 1512^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 19926099 and 19926108.

It is not an unprimeable number, because it can be changed into a prime (19926143) 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, 56272 + ... + 56624.

Almost surely, 2^19926144 is an apocalyptic number.

19926144 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 19926144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33445035).

19926144 is an abundant number, since it is smaller than the sum of its proper divisors (46963926).

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

19926144 is a wasteful number, since it uses less digits than its factorization.

19926144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 365 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 19926144 is about 4463.8709658770. The cubic root of 19926144 is about 271.1072228134.

The spelling of 19926144 in words is "nineteen million, nine hundred twenty-six thousand, one hundred forty-four".