42127624 has 32 divisors (see below), whose sum is σ = 98481600. Its totient is φ = 16413120.

The previous prime is 42127607. The next prime is 42127639. The reversal of 42127624 is 42672124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 42127592 and 42127601.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33579 + ... + 34810.

It is an arithmetic number, because the mean of its divisors is an integer number (3077550).

Almost surely, 2^42127624 is an apocalyptic number.

42127624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42127624 is an abundant number, since it is smaller than the sum of its proper divisors (56353976).

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

42127624 is a wasteful number, since it uses less digits than its factorization.

42127624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68413 (or 68409 counting only the distinct ones).

The product of its digits is 5376, while the sum is 28.

The square root of 42127624 is about 6490.5796351328. The cubic root of 42127624 is about 347.9543913452.

Adding to 42127624 its reverse (42672124), we get a palindrome (84799748).

The spelling of 42127624 in words is "forty-two million, one hundred twenty-seven thousand, six hundred twenty-four".