42687624 has 48 divisors (see below), whose sum is σ = 124146000. Its totient is φ = 12196128.

The previous prime is 42687611. The next prime is 42687641. The reversal of 42687624 is 42678624.

It is a super-3 number, since 3×42687624³ (a number of 24 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16974 + ... + 19325.

It is an arithmetic number, because the mean of its divisors is an integer number (2586375).

Almost surely, 2^42687624 is an apocalyptic number.

It is an amenable number.

42687624 is an abundant number, since it is smaller than the sum of its proper divisors (81458376).

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

42687624 is a wasteful number, since it uses less digits than its factorization.

42687624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36322 (or 36311 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 42687624 is about 6533.5766621354. The cubic root of 42687624 is about 349.4893887704.

The spelling of 42687624 in words is "forty-two million, six hundred eighty-seven thousand, six hundred twenty-four".