88704000 has 528 divisors, whose sum is σ = 398526336. Its totient is φ = 18432000.

The previous prime is 88703981. The next prime is 88704001. The reversal of 88704000 is 40788.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (528).

It is not an unprimeable number, because it can be changed into a prime (88704001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8063995 + ... + 8064005.

Almost surely, 2^88704000 is an apocalyptic number.

88704000 is a gapful number since it is divisible by the number (80) 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 88704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199263168).

88704000 is an abundant number, since it is smaller than the sum of its proper divisors (309822336).

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

88704000 is a wasteful number, since it uses less digits than its factorization.

88704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 88704000 is about 9418.2800977673. The cubic root of 88704000 is about 445.9789918181.

Adding to 88704000 its reverse (40788), we get a palindrome (88744788).

The spelling of 88704000 in words is "eighty-eight million, seven hundred four thousand".