42301656 has 128 divisors (see below), whose sum is σ = 124032000. Its totient is φ = 13343616.

The previous prime is 42301631. The next prime is 42301673. The reversal of 42301656 is 65610324.

42301656 is a `hidden beast` number, since 4 + 2 + 3 + 0 + 1 + 656 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 42301656 = 54³ + 348³ = 132³ + 342³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 535425 + ... + 535503.

It is an arithmetic number, because the mean of its divisors is an integer number (969000).

Almost surely, 2^42301656 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 42301656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62016000).

42301656 is an abundant number, since it is smaller than the sum of its proper divisors (81730344).

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

42301656 is a wasteful number, since it uses less digits than its factorization.

42301656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 42301656 is about 6503.9723246644. The cubic root of 42301656 is about 348.4328739330.

It can be divided in two parts, 4230 and 1656, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 42301656 in words is "forty-two million, three hundred one thousand, six hundred fifty-six".