42617840 has 40 divisors (see below), whose sum is σ = 99621600. Its totient is φ = 16955136.

The previous prime is 42617803. The next prime is 42617843. The reversal of 42617840 is 4871624.

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

It is a junction number, because it is equal to n+sod(n) for n = 42617797 and 42617806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42617843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14582 + ... + 17258.

It is an arithmetic number, because the mean of its divisors is an integer number (2490540).

Almost surely, 2^42617840 is an apocalyptic number.

42617840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42617840 is an abundant number, since it is smaller than the sum of its proper divisors (57003760).

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

42617840 is a wasteful number, since it uses less digits than its factorization.

42617840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2889 (or 2883 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 42617840 is about 6528.2340644312. The cubic root of 42617840 is about 349.2988411969.

The spelling of 42617840 in words is "forty-two million, six hundred seventeen thousand, eight hundred forty".