42689088 has 84 divisors (see below), whose sum is σ = 131796028. Its totient is φ = 13132800.

The previous prime is 42689051. The next prime is 42689099. The reversal of 42689088 is 88098624.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 21233664 + 21455424 = 4608^2 + 4632^2 .

It is a super-3 number, since 3×42689088³ (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4638 + ... + 10338.

Almost surely, 2^42689088 is an apocalyptic number.

42689088 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 42689088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65898014).

42689088 is an abundant number, since it is smaller than the sum of its proper divisors (89106940).

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

42689088 is a wasteful number, since it uses less digits than its factorization.

42689088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5732 (or 5719 counting only the distinct ones).

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

The square root of 42689088 is about 6533.6886978184. The cubic root of 42689088 is about 349.4933840471.

The spelling of 42689088 in words is "forty-two million, six hundred eighty-nine thousand, eighty-eight".