42633240 has 64 divisors (see below), whose sum is σ = 137743200. Its totient is φ = 10493952.

The previous prime is 42633209. The next prime is 42633257. The reversal of 42633240 is 4233624.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42633240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12105 + ... + 15224.

Almost surely, 2^42633240 is an apocalyptic number.

42633240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42633240 is an abundant number, since it is smaller than the sum of its proper divisors (95109960).

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

42633240 is a wasteful number, since it uses less digits than its factorization.

42633240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27356 (or 27352 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 42633240 is about 6529.4134499203. The cubic root of 42633240 is about 349.3409092945.

Adding to 42633240 its reverse (4233624), we get a palindrome (46866864).

It can be divided in two parts, 4263 and 3240, that added together give a triangular number (7503 = T₁₂₂).

The spelling of 42633240 in words is "forty-two million, six hundred thirty-three thousand, two hundred forty".