42633612 has 36 divisors (see below), whose sum is σ = 123164496. Its totient is φ = 12180960.

The previous prime is 42633607. The next prime is 42633629. The reversal of 42633612 is 21633624.

42633612 is a `hidden beast` number, since 42 + 6 + 3 + 3 + 612 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

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, 84339 + ... + 84842.

It is an arithmetic number, because the mean of its divisors is an integer number (3421236).

Almost surely, 2^42633612 is an apocalyptic number.

42633612 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42633612 is an abundant number, since it is smaller than the sum of its proper divisors (80530884).

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

42633612 is a wasteful number, since it uses less digits than its factorization.

42633612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169198 (or 169193 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 42633612 is about 6529.4419363373. The cubic root of 42633612 is about 349.3419253596.

It can be divided in two parts, 4263 and 3612, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 42633612 in words is "forty-two million, six hundred thirty-three thousand, six hundred twelve".