19681152 has 64 divisors (see below), whose sum is σ = 52876800. Its totient is φ = 6485504.

The previous prime is 19681147. The next prime is 19681153. The reversal of 19681152 is 25118691.

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19681153) 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, 40849 + ... + 41327.

It is an arithmetic number, because the mean of its divisors is an integer number (826200).

Almost surely, 2^19681152 is an apocalyptic number.

19681152 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 19681152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26438400).

19681152 is an abundant number, since it is smaller than the sum of its proper divisors (33195648).

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

19681152 is a wasteful number, since it uses less digits than its factorization.

19681152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 591 counting only the distinct ones).

The product of its digits is 4320, while the sum is 33.

The square root of 19681152 is about 4436.3444410911. The cubic root of 19681152 is about 269.9915498041.

The spelling of 19681152 in words is "nineteen million, six hundred eighty-one thousand, one hundred fifty-two".