42608880 has 240 divisors, whose sum is σ = 155990016. Its totient is φ = 10391040.

The previous prime is 42608879. The next prime is 42608897. The reversal of 42608880 is 8880624.

42608880 is a `hidden beast` number, since 42 + 608 + 8 + 8 + 0 = 666.

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

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

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, 513319 + ... + 513401.

Almost surely, 2^42608880 is an apocalyptic number.

42608880 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 42608880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77995008).

42608880 is an abundant number, since it is smaller than the sum of its proper divisors (113381136).

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

42608880 is a wasteful number, since it uses less digits than its factorization.

42608880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 42608880 is about 6527.5477784540. The cubic root of 42608880 is about 349.2743605492.

The spelling of 42608880 in words is "forty-two million, six hundred eight thousand, eight hundred eighty".