42636680 has 32 divisors (see below), whose sum is σ = 101577240. Its totient is φ = 16051200.

The previous prime is 42636677. The next prime is 42636683. The reversal of 42636680 is 8663624.

It is an interprime number because it is at equal distance from previous prime (42636677) and next prime (42636683).

It can be written as a sum of positive squares in 4 ways, for example, as 38167684 + 4468996 = 6178^2 + 2114^2 .

It is a Smith number, since the sum of its digits (35) 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 42636680.

It is not an unprimeable number, because it can be changed into a prime (42636683) 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, 30671 + ... + 32030.

Almost surely, 2^42636680 is an apocalyptic number.

42636680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42636680 is an abundant number, since it is smaller than the sum of its proper divisors (58940560).

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

42636680 is a wasteful number, since it uses less digits than its factorization.

42636680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62729 (or 62725 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 42636680 is about 6529.6768679622. The cubic root of 42636680 is about 349.3503049398.

The spelling of 42636680 in words is "forty-two million, six hundred thirty-six thousand, six hundred eighty".