19480968 has 72 divisors (see below), whose sum is σ = 57167370. Its totient is φ = 5990400.

The previous prime is 19480939. The next prime is 19480969. The reversal of 19480968 is 86908491.

It can be written as a sum of positive squares in 3 ways, for example, as 16305444 + 3175524 = 4038^2 + 1782^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×19480968² = 759016228434048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19480969) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11368 + ... + 12968.

Almost surely, 2^19480968 is an apocalyptic number.

19480968 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 19480968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28583685).

19480968 is an abundant number, since it is smaller than the sum of its proper divisors (37686402).

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

19480968 is a wasteful number, since it uses less digits than its factorization.

19480968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 19480968 is about 4413.7249574481. The cubic root of 19480968 is about 269.0730351753.

The spelling of 19480968 in words is "nineteen million, four hundred eighty thousand, nine hundred sixty-eight".