19948032 has 200 divisors, whose sum is σ = 65852556. Its totient is φ = 5971968.

The previous prime is 19948031. The next prime is 19948057. The reversal of 19948032 is 23084991.

It can be written as a sum of positive squares in 2 ways, for example, as 19927296 + 20736 = 4464^2 + 144^2 .

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 (19948031) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 539118 + ... + 539154.

Almost surely, 2^19948032 is an apocalyptic number.

19948032 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 19948032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32926278).

19948032 is an abundant number, since it is smaller than the sum of its proper divisors (45904524).

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

19948032 is an equidigital number, since it uses as much as digits as its factorization.

19948032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 19948032 is about 4466.3219767500. The cubic root of 19948032 is about 271.2064529751.

The spelling of 19948032 in words is "nineteen million, nine hundred forty-eight thousand, thirty-two".