19972480 has 64 divisors (see below), whose sum is σ = 52105680. Its totient is φ = 7260160.

The previous prime is 19972423. The next prime is 19972481. The reversal of 19972480 is 8427991.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19972481) 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 7 ways as a sum of consecutive naturals, for example, 5622 + ... + 8458.

Almost surely, 2^19972480 is an apocalyptic number.

19972480 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 19972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26052840).

19972480 is an abundant number, since it is smaller than the sum of its proper divisors (32133200).

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

19972480 is a wasteful number, since it uses less digits than its factorization.

19972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 19972480 is about 4469.0580663044. The cubic root of 19972480 is about 271.3172032232.

The spelling of 19972480 in words is "nineteen million, nine hundred seventy-two thousand, four hundred eighty".