19681032 has 64 divisors (see below), whose sum is σ = 58060800. Its totient is φ = 5440320.

The previous prime is 19681027. The next prime is 19681037. The reversal of 19681032 is 23018691.

It is an interprime number because it is at equal distance from previous prime (19681027) and next prime (19681037).

It is not an unprimeable number, because it can be changed into a prime (19681037) 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, 3319 + ... + 7097.

It is an arithmetic number, because the mean of its divisors is an integer number (907200).

Almost surely, 2^19681032 is an apocalyptic number.

19681032 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 19681032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29030400).

19681032 is an abundant number, since it is smaller than the sum of its proper divisors (38379768).

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

19681032 is a wasteful number, since it uses less digits than its factorization.

19681032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826 (or 3822 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 19681032 is about 4436.3309164218. The cubic root of 19681032 is about 269.9910010718.

The spelling of 19681032 in words is "nineteen million, six hundred eighty-one thousand, thirty-two".