42066320 has 40 divisors (see below), whose sum is σ = 98115000. Its totient is φ = 16773120.

The previous prime is 42066307. The next prime is 42066371. The reversal of 42066320 is 2366024.

It can be written as a sum of positive squares in 4 ways, for example, as 283024 + 41783296 = 532^2 + 6464^2 .

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

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, 33056 + ... + 34304.

It is an arithmetic number, because the mean of its divisors is an integer number (2452875).

Almost surely, 2^42066320 is an apocalyptic number.

42066320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42066320 is an abundant number, since it is smaller than the sum of its proper divisors (56048680).

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

42066320 is a wasteful number, since it uses less digits than its factorization.

42066320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 42066320 is about 6485.8553792079. The cubic root of 42066320 is about 347.7855286586.

The spelling of 42066320 in words is "forty-two million, sixty-six thousand, three hundred twenty".