19932480 has 140 divisors (see below), whose sum is σ = 70995540. Its totient is φ = 5308416.

The previous prime is 19932443. The next prime is 19932481. The reversal of 19932480 is 8423991.

It can be written as a sum of positive squares in 2 ways, for example, as 7485696 + 12446784 = 2736^2 + 3528^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19932481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25536 + ... + 26304.

It is an arithmetic number, because the mean of its divisors is an integer number (507111).

Almost surely, 2^19932480 is an apocalyptic number.

19932480 is a gapful number since it is divisible by the number (10) 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 19932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35497770).

19932480 is an abundant number, since it is smaller than the sum of its proper divisors (51063060).

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

19932480 is an equidigital number, since it uses as much as digits as its factorization.

19932480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 779 counting only the distinct ones).

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

The square root of 19932480 is about 4464.5806074031. The cubic root of 19932480 is about 271.1359548038.

The spelling of 19932480 in words is "nineteen million, nine hundred thirty-two thousand, four hundred eighty".