42883680 has 96 divisors (see below), whose sum is σ = 154393344. Its totient is φ = 9801216.

The previous prime is 42883669. The next prime is 42883681. The reversal of 42883680 is 8638824.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42883681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3022 + ... + 9741.

It is an arithmetic number, because the mean of its divisors is an integer number (1608264).

Almost surely, 2^42883680 is an apocalyptic number.

42883680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42883680 is an abundant number, since it is smaller than the sum of its proper divisors (111509664).

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

42883680 is a wasteful number, since it uses less digits than its factorization.

42883680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12788 (or 12780 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 42883680 is about 6548.5632011915. The cubic root of 42883680 is about 350.0236174539.

The spelling of 42883680 in words is "forty-two million, eight hundred eighty-three thousand, six hundred eighty".