42611624 has 32 divisors (see below), whose sum is σ = 89195040. Its totient is φ = 18916800.

The previous prime is 42611603. The next prime is 42611627.

42611624 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 42611593 and 42611602.

It is not an unprimeable number, because it can be changed into a prime (42611627) 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, 1847 + ... + 9414.

It is an arithmetic number, because the mean of its divisors is an integer number (2787345).

Almost surely, 2^42611624 is an apocalyptic number.

42611624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42611624 is an abundant number, since it is smaller than the sum of its proper divisors (46583416).

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

42611624 is a wasteful number, since it uses less digits than its factorization.

42611624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11321 (or 11317 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 42611624 is about 6527.7579611992. The cubic root of 42611624 is about 349.2818581121.

It can be divided in two parts, 4261 and 1624, that added together give a palindrome (5885).

The spelling of 42611624 in words is "forty-two million, six hundred eleven thousand, six hundred twenty-four".