19648480 has 48 divisors (see below), whose sum is σ = 47688480. Its totient is φ = 7644672.

The previous prime is 19648459. The next prime is 19648501. The reversal of 19648480 is 8484691.

It is an interprime number because it is at equal distance from previous prime (19648459) and next prime (19648501).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4261 + ... + 7579.

It is an arithmetic number, because the mean of its divisors is an integer number (993510).

Almost surely, 2^19648480 is an apocalyptic number.

19648480 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 19648480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23844240).

19648480 is an abundant number, since it is smaller than the sum of its proper divisors (28040000).

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

19648480 is a wasteful number, since it uses less digits than its factorization.

19648480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3371 (or 3363 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 19648480 is about 4432.6606005874. The cubic root of 19648480 is about 269.8420658434.

The spelling of 19648480 in words is "nineteen million, six hundred forty-eight thousand, four hundred eighty".