42605760 has 56 divisors (see below), whose sum is σ = 135276336. Its totient is φ = 11361280.

The previous prime is 42605747. The next prime is 42605777. The reversal of 42605760 is 6750624.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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, 21231 + ... + 23150.

Almost surely, 2^42605760 is an apocalyptic number.

42605760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42605760 is an abundant number, since it is smaller than the sum of its proper divisors (92670576).

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

42605760 is a wasteful number, since it uses less digits than its factorization.

42605760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44401 (or 44391 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 42605760 is about 6527.3087869351. The cubic root of 42605760 is about 349.2658352324.

It can be divided in two parts, 42605 and 760, that added together give a triangular number (43365 = T₂₉₄).

The spelling of 42605760 in words is "forty-two million, six hundred five thousand, seven hundred sixty".