42534240 has 96 divisors (see below), whose sum is σ = 153135360. Its totient is φ = 9721344.

The previous prime is 42534223. The next prime is 42534241. The reversal of 42534240 is 4243524.

It is a tau number, because it is divible by the number of its divisors (96).

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 42534240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42534241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2970 + ... + 9689.

It is an arithmetic number, because the mean of its divisors is an integer number (1595160).

Almost surely, 2^42534240 is an apocalyptic number.

42534240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42534240 is an abundant number, since it is smaller than the sum of its proper divisors (110601120).

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

42534240 is a wasteful number, since it uses less digits than its factorization.

42534240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12684 (or 12676 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 42534240 is about 6521.8279646124. The cubic root of 42534240 is about 349.0702945134.

Adding to 42534240 its reverse (4243524), we get a palindrome (46777764).

The spelling of 42534240 in words is "forty-two million, five hundred thirty-four thousand, two hundred forty".