42624288 has 72 divisors (see below), whose sum is σ = 138535488. Its totient is φ = 12177792.

The previous prime is 42624271. The next prime is 42624289. The reversal of 42624288 is 88242624.

It is a happy number.

42624288 is a `hidden beast` number, since 4 + 2 + 624 + 28 + 8 = 666.

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

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 not an unprimeable number, because it can be changed into a prime (42624289) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8556 + ... + 12587.

It is an arithmetic number, because the mean of its divisors is an integer number (1924104).

Almost surely, 2^42624288 is an apocalyptic number.

42624288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42624288 is an abundant number, since it is smaller than the sum of its proper divisors (95911200).

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

42624288 is a wasteful number, since it uses less digits than its factorization.

42624288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21166 (or 21155 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 42624288 is about 6528.7279005944. The cubic root of 42624288 is about 349.3164563971.

The spelling of 42624288 in words is "forty-two million, six hundred twenty-four thousand, two hundred eighty-eight".