42624680 has 32 divisors (see below), whose sum is σ = 109607040. Its totient is φ = 14614080.

The previous prime is 42624671. The next prime is 42624689. The reversal of 42624680 is 8642624.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42624671) and next prime (42624689).

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (42624689) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 75836 + ... + 76395.

It is an arithmetic number, because the mean of its divisors is an integer number (3425220).

Almost surely, 2^42624680 is an apocalyptic number.

42624680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42624680 is an abundant number, since it is smaller than the sum of its proper divisors (66982360).

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

42624680 is a wasteful number, since it uses less digits than its factorization.

42624680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152249 (or 152245 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 42624680 is about 6528.7579216877. The cubic root of 42624680 is about 349.3175272391.

The spelling of 42624680 in words is "forty-two million, six hundred twenty-four thousand, six hundred eighty".