42617256 has 64 divisors (see below), whose sum is σ = 117374400. Its totient is φ = 12787200.

The previous prime is 42617251. The next prime is 42617291. The reversal of 42617256 is 65271624.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (42617251) 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, 28036 + ... + 29516.

It is an arithmetic number, because the mean of its divisors is an integer number (1833975).

Almost surely, 2^42617256 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 42617256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58687200).

42617256 is an abundant number, since it is smaller than the sum of its proper divisors (74757144).

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

42617256 is a wasteful number, since it uses less digits than its factorization.

42617256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1606 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 42617256 is about 6528.1893354896. The cubic root of 42617256 is about 349.2972456878.

The spelling of 42617256 in words is "forty-two million, six hundred seventeen thousand, two hundred fifty-six".