19818480 has 80 divisors (see below), whose sum is σ = 67031424. Its totient is φ = 4803840.

The previous prime is 19818467. The next prime is 19818499. The reversal of 19818480 is 8481891.

19818480 = T₄₅₁ + T₄₅₂ + ... + T₅₉₄.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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, 1114 + ... + 6393.

Almost surely, 2^19818480 is an apocalyptic number.

19818480 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 19818480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33515712).

19818480 is an abundant number, since it is smaller than the sum of its proper divisors (47212944).

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

19818480 is a wasteful number, since it uses less digits than its factorization.

19818480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7534 (or 7528 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 19818480 is about 4451.7951435348. The cubic root of 19818480 is about 270.6180628374.

The spelling of 19818480 in words is "nineteen million, eight hundred eighteen thousand, four hundred eighty".