42637504 has 56 divisors (see below), whose sum is σ = 104148128. Its totient is φ = 16865280.

The previous prime is 42637481. The next prime is 42637519. The reversal of 42637504 is 40573624.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2164 + ... + 9484.

It is an arithmetic number, because the mean of its divisors is an integer number (1859788).

Almost surely, 2^42637504 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 42637504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52074064).

42637504 is an abundant number, since it is smaller than the sum of its proper divisors (61510624).

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

42637504 is a wasteful number, since it uses less digits than its factorization.

42637504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7353 (or 7343 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 42637504 is about 6529.7399641946. The cubic root of 42637504 is about 349.3525554496.

The spelling of 42637504 in words is "forty-two million, six hundred thirty-seven thousand, five hundred four".