88385904 has 120 divisors (see below), whose sum is σ = 259983360. Its totient is φ = 29066688.

The previous prime is 88385903. The next prime is 88385917. The reversal of 88385904 is 40958388.

It is a self number, because there is not a number n which added to its sum of digits gives 88385904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88385903) 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 23 ways as a sum of consecutive naturals, for example, 493687 + ... + 493865.

It is an arithmetic number, because the mean of its divisors is an integer number (2166528).

Almost surely, 2^88385904 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 88385904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129991680).

88385904 is an abundant number, since it is smaller than the sum of its proper divisors (171597456).

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

88385904 is a wasteful number, since it uses less digits than its factorization.

88385904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 88385904 is about 9401.3777713695. The cubic root of 88385904 is about 445.4452539604.

The spelling of 88385904 in words is "eighty-eight million, three hundred eighty-five thousand, nine hundred four".