19919952 has 80 divisors (see below), whose sum is σ = 61593280. Its totient is φ = 6127488.

The previous prime is 19919947. The next prime is 19919953. The reversal of 19919952 is 25991991.

It is a junction number, because it is equal to n+sod(n) for n = 19919898 and 19919907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19919953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3843 + ... + 7389.

It is an arithmetic number, because the mean of its divisors is an integer number (769916).

Almost surely, 2^19919952 is an apocalyptic number.

19919952 is a gapful number since it is divisible by the number (12) 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 19919952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30796640).

19919952 is an abundant number, since it is smaller than the sum of its proper divisors (41673328).

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

19919952 is a wasteful number, since it uses less digits than its factorization.

19919952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3577 (or 3565 counting only the distinct ones).

The product of its digits is 65610, while the sum is 45.

The square root of 19919952 is about 4463.1773435525. The cubic root of 19919952 is about 271.0791379377.

The spelling of 19919952 in words is "nineteen million, nine hundred nineteen thousand, nine hundred fifty-two".