42647680 has 64 divisors (see below), whose sum is σ = 104768280. Its totient is φ = 16588800.

The previous prime is 42647677. The next prime is 42647707. The reversal of 42647680 is 8674624.

It can be written as a sum of positive squares in 4 ways, for example, as 34762816 + 7884864 = 5896^2 + 2808^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22780 + ... + 24580.

Almost surely, 2^42647680 is an apocalyptic number.

42647680 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 42647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52384140).

42647680 is an abundant number, since it is smaller than the sum of its proper divisors (62120600).

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

42647680 is a wasteful number, since it uses less digits than its factorization.

42647680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 42647680 is about 6530.5191217850. The cubic root of 42647680 is about 349.3803457632.

The spelling of 42647680 in words is "forty-two million, six hundred forty-seven thousand, six hundred eighty".