88004400 has 240 divisors, whose sum is σ = 315515520. Its totient is φ = 20787200.

The previous prime is 88004387. The next prime is 88004401. The reversal of 88004400 is 440088.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×88004400³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (88004401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 778744 + ... + 778856.

It is an arithmetic number, because the mean of its divisors is an integer number (1314648).

Almost surely, 2^88004400 is an apocalyptic number.

88004400 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 88004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157757760).

88004400 is an abundant number, since it is smaller than the sum of its proper divisors (227511120).

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

88004400 is a wasteful number, since it uses less digits than its factorization.

88004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 88004400 is about 9381.0660375034. The cubic root of 88004400 is about 444.8034312573.

Adding to 88004400 its reverse (440088), we get a palindrome (88444488).

The spelling of 88004400 in words is "eighty-eight million, four thousand, four hundred".