42632824 has 32 divisors (see below), whose sum is σ = 87192000. Its totient is φ = 19423872.

The previous prime is 42632801. The next prime is 42632899. The reversal of 42632824 is 42823624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5622 + ... + 10810.

It is an arithmetic number, because the mean of its divisors is an integer number (2724750).

Almost surely, 2^42632824 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 42632824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43596000).

42632824 is an abundant number, since it is smaller than the sum of its proper divisors (44559176).

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

42632824 is a wasteful number, since it uses less digits than its factorization.

42632824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5287 (or 5283 counting only the distinct ones).

The product of its digits is 18432, while the sum is 31.

The square root of 42632824 is about 6529.3815939949. The cubic root of 42632824 is about 349.3397730427.

The spelling of 42632824 in words is "forty-two million, six hundred thirty-two thousand, eight hundred twenty-four".