42557616 has 160 divisors (see below), whose sum is σ = 130944000. Its totient is φ = 13208832.

The previous prime is 42557609. The next prime is 42557617. The reversal of 42557616 is 61675524.

It is a happy number.

42557616 is a `hidden beast` number, since 42 + 557 + 61 + 6 = 666.

It is a super-2 number, since 2×42557616² = 3622301359206912, which contains 22 as substring.

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

Its product of digits (50400) is a multiple of the sum of its prime factors (168).

It is not an unprimeable number, because it can be changed into a prime (42557617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 538665 + ... + 538743.

It is an arithmetic number, because the mean of its divisors is an integer number (818400).

Almost surely, 2^42557616 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 42557616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65472000).

42557616 is an abundant number, since it is smaller than the sum of its proper divisors (88386384).

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

42557616 is a wasteful number, since it uses less digits than its factorization.

42557616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 156 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 42557616 is about 6523.6198540381. The cubic root of 42557616 is about 349.1342302416.

The spelling of 42557616 in words is "forty-two million, five hundred fifty-seven thousand, six hundred sixteen".