42653556 has 72 divisors (see below), whose sum is σ = 123832800. Its totient is φ = 12242880.

The previous prime is 42653543. The next prime is 42653557. The reversal of 42653556 is 65535624.

It is a happy number.

42653556 is a `hidden beast` number, since 42 + 65 + 3 + 556 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42653556.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42653557) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4690 + ... + 10358.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 2^42653556 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 42653556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61916400).

42653556 is an abundant number, since it is smaller than the sum of its proper divisors (81179244).

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

42653556 is a wasteful number, since it uses less digits than its factorization.

42653556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5709 (or 5704 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 42653556 is about 6530.9689939549. The cubic root of 42653556 is about 349.3963909083.

The spelling of 42653556 in words is "forty-two million, six hundred fifty-three thousand, five hundred fifty-six".