19480608 has 96 divisors (see below), whose sum is σ = 64955520. Its totient is φ = 5564160.

The previous prime is 19480603. The next prime is 19480613. The reversal of 19480608 is 80608491.

It is a happy number.

19480608 is a `hidden beast` number, since 1 + 9 + 48 + 0 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (19480603) and next prime (19480613).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (19480603) 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, 4438 + ... + 7658.

It is an arithmetic number, because the mean of its divisors is an integer number (676620).

Almost surely, 2^19480608 is an apocalyptic number.

19480608 is a gapful number since it is divisible by the number (18) 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 19480608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32477760).

19480608 is an abundant number, since it is smaller than the sum of its proper divisors (45474912).

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

19480608 is a wasteful number, since it uses less digits than its factorization.

19480608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3247 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 19480608 is about 4413.6841753800. The cubic root of 19480608 is about 269.0713777134.

The spelling of 19480608 in words is "nineteen million, four hundred eighty thousand, six hundred eight".