19930752 has 128 divisors (see below), whose sum is σ = 60384000. Its totient is φ = 6469632.

The previous prime is 19930751. The next prime is 19930769. The reversal of 19930752 is 25703991.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (19930751) 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, 252249 + ... + 252327.

It is an arithmetic number, because the mean of its divisors is an integer number (471750).

Almost surely, 2^19930752 is an apocalyptic number.

19930752 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 19930752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30192000).

19930752 is an abundant number, since it is smaller than the sum of its proper divisors (40453248).

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

19930752 is an equidigital number, since it uses as much as digits as its factorization.

19930752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 19930752 is about 4464.3870799921. The cubic root of 19930752 is about 271.1281194103.

The spelling of 19930752 in words is "nineteen million, nine hundred thirty thousand, seven hundred fifty-two".