19937952 has 72 divisors (see below), whose sum is σ = 57316896. Its totient is φ = 6573696.

The previous prime is 19937909. The next prime is 19937971. The reversal of 19937952 is 25973991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 19937898 and 19937907.

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, 30493 + ... + 31139.

It is an arithmetic number, because the mean of its divisors is an integer number (796068).

Almost surely, 2^19937952 is an apocalyptic number.

19937952 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 19937952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28658448).

19937952 is an abundant number, since it is smaller than the sum of its proper divisors (37378944).

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

19937952 is a wasteful number, since it uses less digits than its factorization.

19937952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 759 counting only the distinct ones).

The product of its digits is 153090, while the sum is 45.

The square root of 19937952 is about 4465.1933888691. The cubic root of 19937952 is about 271.1607638959.

The spelling of 19937952 in words is "nineteen million, nine hundred thirty-seven thousand, nine hundred fifty-two".