42124632 has 32 divisors (see below), whose sum is σ = 114886080. Its totient is φ = 12764960.

The previous prime is 42124619. The next prime is 42124633. The reversal of 42124632 is 23642124.

It is a super-2 number, since 2×42124632² = 3548969242270848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42124633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79518 + ... + 80045.

It is an arithmetic number, because the mean of its divisors is an integer number (3590190).

Almost surely, 2^42124632 is an apocalyptic number.

It is an amenable number.

42124632 is an abundant number, since it is smaller than the sum of its proper divisors (72761448).

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

42124632 is a wasteful number, since it uses less digits than its factorization.

42124632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159583 (or 159579 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 42124632 is about 6490.3491431509. The cubic root of 42124632 is about 347.9461536452.

Adding to 42124632 its reverse (23642124), we get a palindrome (65766756).

The spelling of 42124632 in words is "forty-two million, one hundred twenty-four thousand, six hundred thirty-two".