42657680 has 40 divisors (see below), whose sum is σ = 106810872. Its totient is φ = 15750144.

The previous prime is 42657673. The next prime is 42657689. The reversal of 42657680 is 8675624.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2917264 + 39740416 = 1708^2 + 6304^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (42657689) 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, 19469 + ... + 21548.

Almost surely, 2^42657680 is an apocalyptic number.

42657680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42657680 is an abundant number, since it is smaller than the sum of its proper divisors (64153192).

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

42657680 is a wasteful number, since it uses less digits than its factorization.

42657680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41043 (or 41037 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 42657680 is about 6531.2847128264. The cubic root of 42657680 is about 349.4076511205.

The spelling of 42657680 in words is "forty-two million, six hundred fifty-seven thousand, six hundred eighty".