42768648 has 80 divisors (see below), whose sum is σ = 129031980. Its totient is φ = 13156992.

The previous prime is 42768631. The next prime is 42768653. The reversal of 42768648 is 84686724.

It can be written as a sum of positive squares in 2 ways, for example, as 42224004 + 544644 = 6498^2 + 738^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5886 + ... + 10962.

Almost surely, 2^42768648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42768648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64515990).

42768648 is an abundant number, since it is smaller than the sum of its proper divisors (86263332).

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

42768648 is a wasteful number, since it uses less digits than its factorization.

42768648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5108 (or 5095 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 42768648 is about 6539.7743080323. The cubic root of 42768648 is about 349.7103671912.

The spelling of 42768648 in words is "forty-two million, seven hundred sixty-eight thousand, six hundred forty-eight".