42264768 has 224 divisors, whose sum is σ = 143377920. Its totient is φ = 10690560.

The previous prime is 42264713. The next prime is 42264769. The reversal of 42264768 is 86746224.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×42264768² = 3572621228187648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42264769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 716323 + ... + 716381.

It is an arithmetic number, because the mean of its divisors is an integer number (640080).

Almost surely, 2^42264768 is an apocalyptic number.

42264768 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 42264768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71688960).

42264768 is an abundant number, since it is smaller than the sum of its proper divisors (101113152).

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

42264768 is a wasteful number, since it uses less digits than its factorization.

42264768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 125 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 42264768 is about 6501.1359007484. The cubic root of 42264768 is about 348.3315640323.

The spelling of 42264768 in words is "forty-two million, two hundred sixty-four thousand, seven hundred sixty-eight".