42083760 has 40 divisors (see below), whose sum is σ = 130460400. Its totient is φ = 11222272.

The previous prime is 42083737. The next prime is 42083773. The reversal of 42083760 is 6738024.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 87435 + ... + 87914.

It is an arithmetic number, because the mean of its divisors is an integer number (3261510).

Almost surely, 2^42083760 is an apocalyptic number.

42083760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42083760 is an abundant number, since it is smaller than the sum of its proper divisors (88376640).

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

42083760 is a wasteful number, since it uses less digits than its factorization.

42083760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175365 (or 175359 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 42083760 is about 6487.1997040325. The cubic root of 42083760 is about 347.8335840594.

The spelling of 42083760 in words is "forty-two million, eighty-three thousand, seven hundred sixty".