19960032 has 96 divisors (see below), whose sum is σ = 57093120. Its totient is φ = 6082560.

The previous prime is 19960019. The next prime is 19960043. The reversal of 19960032 is 23006991.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56368 + ... + 56720.

It is an arithmetic number, because the mean of its divisors is an integer number (594720).

Almost surely, 2^19960032 is an apocalyptic number.

19960032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

19960032 is the 3648-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19960032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28546560).

19960032 is an abundant number, since it is smaller than the sum of its proper divisors (37133088).

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

19960032 is a wasteful number, since it uses less digits than its factorization.

19960032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 19960032 is about 4467.6651620281. The cubic root of 19960032 is about 271.2608246723.

The spelling of 19960032 in words is "nineteen million, nine hundred sixty thousand, thirty-two".