42264096 has 96 divisors (see below), whose sum is σ = 128177280. Its totient is φ = 11943936.

The previous prime is 42264031. The next prime is 42264097. The reversal of 42264096 is 69046224.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (42264097) 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, 72960 + ... + 73536.

It is an arithmetic number, because the mean of its divisors is an integer number (1335180).

Almost surely, 2^42264096 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 42264096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64088640).

42264096 is an abundant number, since it is smaller than the sum of its proper divisors (85913184).

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

42264096 is a wasteful number, since it uses less digits than its factorization.

42264096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 42264096 is about 6501.0842172671. The cubic root of 42264096 is about 348.3297178922.

The spelling of 42264096 in words is "forty-two million, two hundred sixty-four thousand, ninety-six".