42526080 has 256 divisors, whose sum is σ = 158630400. Its totient is φ = 10745856.

The previous prime is 42526067. The next prime is 42526109. The reversal of 42526080 is 8062524.

42526080 is a `hidden beast` number, since 4 + 2 + 52 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397387 + ... + 397493.

It is an arithmetic number, because the mean of its divisors is an integer number (619650).

Almost surely, 2^42526080 is an apocalyptic number.

42526080 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 42526080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79315200).

42526080 is an abundant number, since it is smaller than the sum of its proper divisors (116104320).

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

42526080 is a wasteful number, since it uses less digits than its factorization.

42526080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 42526080 is about 6521.2023431266. The cubic root of 42526080 is about 349.0479705710.

The spelling of 42526080 in words is "forty-two million, five hundred twenty-six thousand, eighty".