42906680 has 64 divisors (see below), whose sum is σ = 101204640. Its totient is φ = 16353792.

The previous prime is 42906667. The next prime is 42906683. The reversal of 42906680 is 8660924.

It is a self number, because there is not a number n which added to its sum of digits gives 42906680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42906683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78167 + ... + 78713.

Almost surely, 2^42906680 is an apocalyptic number.

42906680 is a gapful number since it is divisible by the number (40) 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 42906680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50602320).

42906680 is an abundant number, since it is smaller than the sum of its proper divisors (58297960).

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

42906680 is a wasteful number, since it uses less digits than its factorization.

42906680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 42906680 is about 6550.3190761977. The cubic root of 42906680 is about 350.0861828585.

The spelling of 42906680 in words is "forty-two million, nine hundred six thousand, six hundred eighty".