42668820 has 72 divisors (see below), whose sum is σ = 130131456. Its totient is φ = 11316672.

The previous prime is 42668819. The next prime is 42668833. The reversal of 42668820 is 2886624.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39609 + ... + 40671.

Almost surely, 2^42668820 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 42668820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65065728).

42668820 is an abundant number, since it is smaller than the sum of its proper divisors (87462636).

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

42668820 is a wasteful number, since it uses less digits than its factorization.

42668820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 42668820 is about 6532.1374755894. The cubic root of 42668820 is about 349.4380642642.

The spelling of 42668820 in words is "forty-two million, six hundred sixty-eight thousand, eight hundred twenty".