42633504 has 72 divisors (see below), whose sum is σ = 122063760. Its totient is φ = 14114688.

The previous prime is 42633499. The next prime is 42633523. The reversal of 42633504 is 40533624.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51139 + ... + 51965.

It is an arithmetic number, because the mean of its divisors is an integer number (1695330).

Almost surely, 2^42633504 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 42633504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61031880).

42633504 is an abundant number, since it is smaller than the sum of its proper divisors (79430256).

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

42633504 is a wasteful number, since it uses less digits than its factorization.

42633504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 42633504 is about 6529.4336661000. The cubic root of 42633504 is about 349.3416303735.

It can be divided in two parts, 426 and 33504, that added together give a triangular number (33930 = T₂₆₀).

The spelling of 42633504 in words is "forty-two million, six hundred thirty-three thousand, five hundred four".