42806088 has 192 divisors, whose sum is σ = 137592000. Its totient is φ = 11902464.

The previous prime is 42806087. The next prime is 42806111. The reversal of 42806088 is 88060824.

42806088 is a `hidden beast` number, since 42 + 8 + 0 + 608 + 8 = 666.

It is a super-2 number, since 2×42806088² = 3664722339727488, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42806081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 515695 + ... + 515777.

It is an arithmetic number, because the mean of its divisors is an integer number (716625).

Almost surely, 2^42806088 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 42806088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68796000).

42806088 is an abundant number, since it is smaller than the sum of its proper divisors (94785912).

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

42806088 is a wasteful number, since it uses less digits than its factorization.

42806088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 149 counting only the distinct ones).

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

The square root of 42806088 is about 6542.6361659502. The cubic root of 42806088 is about 349.8123838007.

The spelling of 42806088 in words is "forty-two million, eight hundred six thousand, eighty-eight".