19952768 has 64 divisors (see below), whose sum is σ = 44651520. Its totient is φ = 8801280.

The previous prime is 19952761. The next prime is 19952771. The reversal of 19952768 is 86725991.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×19952768² = 796225901723648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19952761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51905 + ... + 52287.

It is an arithmetic number, because the mean of its divisors is an integer number (697680).

Almost surely, 2^19952768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19952768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22325760).

19952768 is an abundant number, since it is smaller than the sum of its proper divisors (24698752).

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

19952768 is a wasteful number, since it uses less digits than its factorization.

19952768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 433 counting only the distinct ones).

The product of its digits is 272160, while the sum is 47.

The square root of 19952768 is about 4466.8521354529. The cubic root of 19952768 is about 271.2279142756.

The spelling of 19952768 in words is "nineteen million, nine hundred fifty-two thousand, seven hundred sixty-eight".