42561680 has 40 divisors (see below), whose sum is σ = 113093952. Its totient is φ = 14592384.

The previous prime is 42561679. The next prime is 42561697. The reversal of 42561680 is 8616524.

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

It is a super-2 number, since 2×42561680² = 3622993208844800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37442 + ... + 38561.

Almost surely, 2^42561680 is an apocalyptic number.

42561680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42561680 is an abundant number, since it is smaller than the sum of its proper divisors (70532272).

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

42561680 is a wasteful number, since it uses less digits than its factorization.

42561680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76023 (or 76017 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 42561680 is about 6523.9313301107. The cubic root of 42561680 is about 349.1453433042.

The spelling of 42561680 in words is "forty-two million, five hundred sixty-one thousand, six hundred eighty".