42666624 has 384 divisors, whose sum is σ = 169303680. Its totient is φ = 9953280.

The previous prime is 42666623. The next prime is 42666629.

42666624 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (42666623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1153134 + ... + 1153170.

It is an arithmetic number, because the mean of its divisors is an integer number (440895).

Almost surely, 2^42666624 is an apocalyptic number.

42666624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42666624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84651840).

42666624 is an abundant number, since it is smaller than the sum of its proper divisors (126637056).

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

42666624 is a wasteful number, since it uses less digits than its factorization.

42666624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 73 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 42666624 is about 6531.9693814347. The cubic root of 42666624 is about 349.4320694171.

It can be divided in two parts, 42 and 666624, that added together give a palindrome (666666).

The spelling of 42666624 in words is "forty-two million, six hundred sixty-six thousand, six hundred twenty-four".