42689808 has 160 divisors (see below), whose sum is σ = 147609600. Its totient is φ = 11539584.

The previous prime is 42689791. The next prime is 42689851. The reversal of 42689808 is 80898624.

It is a happy number.

It is a super-3 number, since 3×42689808³ (a number of 24 digits) contains 333 as substring.

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, 57085 + ... + 57827.

It is an arithmetic number, because the mean of its divisors is an integer number (922560).

Almost surely, 2^42689808 is an apocalyptic number.

42689808 is a gapful number since it is divisible by the number (48) 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 42689808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73804800).

42689808 is an abundant number, since it is smaller than the sum of its proper divisors (104919792).

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

42689808 is a wasteful number, since it uses less digits than its factorization.

42689808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 42689808 is about 6533.7437966299. The cubic root of 42689808 is about 349.4953489038.

The spelling of 42689808 in words is "forty-two million, six hundred eighty-nine thousand, eight hundred eight".