88185042 has 72 divisors (see below), whose sum is σ = 221173680. Its totient is φ = 25304400.

The previous prime is 88185029. The next prime is 88185043. The reversal of 88185042 is 24058188.

It is a junction number, because it is equal to n+sod(n) for n = 88184988 and 88185006.

It is not an unprimeable number, because it can be changed into a prime (88185043) 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 35 ways as a sum of consecutive naturals, for example, 40317 + ... + 42447.

Almost surely, 2^88185042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88185042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110586840).

88185042 is an abundant number, since it is smaller than the sum of its proper divisors (132988638).

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

88185042 is a wasteful number, since it uses less digits than its factorization.

88185042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 88185042 is about 9390.6891120940. The cubic root of 88185042 is about 445.1075647899.

The spelling of 88185042 in words is "eighty-eight million, one hundred eighty-five thousand, forty-two".