19913952 has 96 divisors (see below), whose sum is σ = 56609280. Its totient is φ = 6110720.

The previous prime is 19913951. The next prime is 19913963. The reversal of 19913952 is 25931991.

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

It is a self number, because there is not a number n which added to its sum of digits gives 19913952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19913951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63877 + ... + 64187.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 2^19913952 is an apocalyptic number.

19913952 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 19913952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28304640).

19913952 is an abundant number, since it is smaller than the sum of its proper divisors (36695328).

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

19913952 is a wasteful number, since it uses less digits than its factorization.

19913952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 368 counting only the distinct ones).

The product of its digits is 21870, while the sum is 39.

The square root of 19913952 is about 4462.5051260475. The cubic root of 19913952 is about 271.0519183581.

The spelling of 19913952 in words is "nineteen million, nine hundred thirteen thousand, nine hundred fifty-two".