42633936 has 60 divisors (see below), whose sum is σ = 120474432. Its totient is φ = 14073408.

The previous prime is 42633923. The next prime is 42633949. The reversal of 42633936 is 63933624.

42633936 is a `hidden beast` number, since 4 + 263 + 393 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (42633923) and next prime (42633949).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42633936.

It is a congruent number.

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, 14025 + ... + 16791.

Almost surely, 2^42633936 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 42633936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60237216).

42633936 is an abundant number, since it is smaller than the sum of its proper divisors (77840496).

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

42633936 is a wasteful number, since it uses less digits than its factorization.

42633936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888 (or 2879 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The square root of 42633936 is about 6529.4667469863. The cubic root of 42633936 is about 349.3428103147.

The spelling of 42633936 in words is "forty-two million, six hundred thirty-three thousand, nine hundred thirty-six".