19980480 has 112 divisors (see below), whose sum is σ = 68360544. Its totient is φ = 4915200.

The previous prime is 19980473. The next prime is 19980487. The reversal of 19980480 is 8408991.

It is an interprime number because it is at equal distance from previous prime (19980473) and next prime (19980487).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (19980487) 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, 11680 + ... + 13280.

It is an arithmetic number, because the mean of its divisors is an integer number (610362).

Almost surely, 2^19980480 is an apocalyptic number.

19980480 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 19980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34180272).

19980480 is an abundant number, since it is smaller than the sum of its proper divisors (48380064).

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

19980480 is a wasteful number, since it uses less digits than its factorization.

19980480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 19980480 is about 4469.9530198873. The cubic root of 19980480 is about 271.3534238609.

The spelling of 19980480 in words is "nineteen million, nine hundred eighty thousand, four hundred eighty".