42565680 has 60 divisors (see below), whose sum is σ = 142952160. Its totient is φ = 11350656.

The previous prime is 42565673. The next prime is 42565693. The reversal of 42565680 is 8656524.

42565680 is a `hidden beast` number, since 42 + 56 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×42565680² = 3623674227724800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 28840 + ... + 30279.

It is an arithmetic number, because the mean of its divisors is an integer number (2382536).

Almost surely, 2^42565680 is an apocalyptic number.

42565680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42565680 is an abundant number, since it is smaller than the sum of its proper divisors (100386480).

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

42565680 is a wasteful number, since it uses less digits than its factorization.

42565680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59138 (or 59129 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 42565680 is about 6524.2378865274. The cubic root of 42565680 is about 349.1562806672.

The spelling of 42565680 in words is "forty-two million, five hundred sixty-five thousand, six hundred eighty".