42297632 has 48 divisors (see below), whose sum is σ = 94970232. Its totient is φ = 18370560.

The previous prime is 42297617. The next prime is 42297637. The reversal of 42297632 is 23679224.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22619536 + 19678096 = 4756^2 + 4436^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42297592 and 42297601.

It is not an unprimeable number, because it can be changed into a prime (42297637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4082 + ... + 10062.

Almost surely, 2^42297632 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 42297632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47485116).

42297632 is an abundant number, since it is smaller than the sum of its proper divisors (52672600).

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

42297632 is a wasteful number, since it uses less digits than its factorization.

42297632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6021 (or 6013 counting only the distinct ones).

The product of its digits is 36288, while the sum is 35.

The square root of 42297632 is about 6503.6629678974. The cubic root of 42297632 is about 348.4218252060.

The spelling of 42297632 in words is "forty-two million, two hundred ninety-seven thousand, six hundred thirty-two".