42037820 has 72 divisors (see below), whose sum is σ = 100548000. Its totient is φ = 14734720.

The previous prime is 42037811. The next prime is 42037837. The reversal of 42037820 is 2873024.

It is a self number, because there is not a number n which added to its sum of digits gives 42037820.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69881 + ... + 70479.

It is an arithmetic number, because the mean of its divisors is an integer number (1396500).

Almost surely, 2^42037820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42037820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50274000).

42037820 is an abundant number, since it is smaller than the sum of its proper divisors (58510180).

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

42037820 is a wasteful number, since it uses less digits than its factorization.

42037820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 42037820 is about 6483.6579181817. The cubic root of 42037820 is about 347.7069691613.

The spelling of 42037820 in words is "forty-two million, thirty-seven thousand, eight hundred twenty".