42680264 has 32 divisors (see below), whose sum is σ = 88957440. Its totient is φ = 19032000.

The previous prime is 42680263. The next prime is 42680299. The reversal of 42680264 is 46208624.

It is a happy number.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 42680264.

It is not an unprimeable number, because it can be changed into a prime (42680263) 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, 89 + ... + 9239.

It is an arithmetic number, because the mean of its divisors is an integer number (2779920).

Almost surely, 2^42680264 is an apocalyptic number.

42680264 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 42680264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44478720).

42680264 is an abundant number, since it is smaller than the sum of its proper divisors (46277176).

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

42680264 is a wasteful number, since it uses less digits than its factorization.

42680264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9221 (or 9217 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 42680264 is about 6533.0133935268. The cubic root of 42680264 is about 349.4693018419.

Adding to 42680264 its reverse (46208624), we get a palindrome (88888888).

The spelling of 42680264 in words is "forty-two million, six hundred eighty thousand, two hundred sixty-four".