42131664 has 200 divisors, whose sum is σ = 135036000. Its totient is φ = 12628224.

The previous prime is 42131657. The next prime is 42131669. The reversal of 42131664 is 46613124.

It is a super-2 number, since 2×42131664² = 3550154222817792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (42131669) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 714067 + ... + 714125.

It is an arithmetic number, because the mean of its divisors is an integer number (675180).

Almost surely, 2^42131664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42131664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67518000).

42131664 is an abundant number, since it is smaller than the sum of its proper divisors (92904336).

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

42131664 is a wasteful number, since it uses less digits than its factorization.

42131664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 112 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 42131664 is about 6490.8908479499. The cubic root of 42131664 is about 347.9655138240.

Adding to 42131664 its reverse (46613124), we get a palindrome (88744788).

The spelling of 42131664 in words is "forty-two million, one hundred thirty-one thousand, six hundred sixty-four".