42909648 has 80 divisors (see below), whose sum is σ = 114742656. Its totient is φ = 13811200.

The previous prime is 42909641. The next prime is 42909653. The reversal of 42909648 is 84690924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42909641) 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, 256861 + ... + 257027.

Almost surely, 2^42909648 is an apocalyptic number.

42909648 is a gapful number since it is divisible by the number (48) 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 42909648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57371328).

42909648 is an abundant number, since it is smaller than the sum of its proper divisors (71833008).

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

42909648 is a wasteful number, since it uses less digits than its factorization.

42909648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 42909648 is about 6550.5456261292. The cubic root of 42909648 is about 350.0942548870.

The spelling of 42909648 in words is "forty-two million, nine hundred nine thousand, six hundred forty-eight".