42937840 has 80 divisors (see below), whose sum is σ = 110885760. Its totient is φ = 15330560.

The previous prime is 42937823. The next prime is 42937847. The reversal of 42937840 is 4873924.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 42937840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42937847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51507 + ... + 52333.

It is an arithmetic number, because the mean of its divisors is an integer number (1386072).

Almost surely, 2^42937840 is an apocalyptic number.

42937840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42937840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55442880).

42937840 is an abundant number, since it is smaller than the sum of its proper divisors (67947920).

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

42937840 is a wasteful number, since it uses less digits than its factorization.

42937840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 42937840 is about 6552.6971546074. The cubic root of 42937840 is about 350.1709097262.

The spelling of 42937840 in words is "forty-two million, nine hundred thirty-seven thousand, eight hundred forty".