88735842 has 72 divisors (see below), whose sum is σ = 213565716. Its totient is φ = 26469504.

The previous prime is 88735831. The next prime is 88735901. The reversal of 88735842 is 24853788.

It can be written as a sum of positive squares in 6 ways, for example, as 51538041 + 37197801 = 7179^2 + 6099^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 320208 + ... + 320484.

Almost surely, 2^88735842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88735842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106782858).

88735842 is an abundant number, since it is smaller than the sum of its proper divisors (124829874).

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

88735842 is a wasteful number, since it uses less digits than its factorization.

88735842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 332 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 88735842 is about 9419.9703821190. The cubic root of 88735842 is about 446.0323496681.

The spelling of 88735842 in words is "eighty-eight million, seven hundred thirty-five thousand, eight hundred forty-two".