42275664 has 60 divisors (see below), whose sum is σ = 119067156. Its totient is φ = 14002176.

The previous prime is 42275663. The next prime is 42275669. The reversal of 42275664 is 46657224.

It can be written as a sum of positive squares in 2 ways, for example, as 39690000 + 2585664 = 6300^2 + 1608^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42275663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24064 + ... + 25760.

Almost surely, 2^42275664 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 42275664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59533578).

42275664 is an abundant number, since it is smaller than the sum of its proper divisors (76791492).

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

42275664 is a wasteful number, since it uses less digits than its factorization.

42275664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1875 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 42275664 is about 6501.9738541461. The cubic root of 42275664 is about 348.3614951451.

The spelling of 42275664 in words is "forty-two million, two hundred seventy-five thousand, six hundred sixty-four".