19680752 has 60 divisors (see below), whose sum is σ = 47793816. Its totient is φ = 7781760.

The previous prime is 19680743. The next prime is 19680769. The reversal of 19680752 is 25708691.

19680752 is nontrivially palindromic in base 5.

It is a congruent number.

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, 9227 + ... + 11157.

Almost surely, 2^19680752 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 19680752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23896908).

19680752 is an abundant number, since it is smaller than the sum of its proper divisors (28113064).

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

19680752 is a wasteful number, since it uses less digits than its factorization.

19680752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 19680752 is about 4436.2993586998. The cubic root of 19680752 is about 269.9897206878.

The spelling of 19680752 in words is "nineteen million, six hundred eighty thousand, seven hundred fifty-two".