42616080 has 240 divisors, whose sum is σ = 160458480. Its totient is φ = 10063872.

The previous prime is 42616073. The next prime is 42616099. The reversal of 42616080 is 8061624.

42616080 is a `hidden beast` number, since 42 + 616 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5308416 + 37307664 = 2304^2 + 6108^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×42616080² = 3632260549132800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271362 + ... + 271518.

It is an arithmetic number, because the mean of its divisors is an integer number (668577).

Almost surely, 2^42616080 is an apocalyptic number.

42616080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42616080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80229240).

42616080 is an abundant number, since it is smaller than the sum of its proper divisors (117842400).

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

42616080 is a wasteful number, since it uses less digits than its factorization.

42616080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 42616080 is about 6528.0992639512. The cubic root of 42616080 is about 349.2940327691.

The spelling of 42616080 in words is "forty-two million, six hundred sixteen thousand, eighty".