88008000 has 224 divisors, whose sum is σ = 307482240. Its totient is φ = 22118400.

The previous prime is 88007993. The next prime is 88008029. The reversal of 88008000 is 80088.

It is a happy number.

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455904 + ... + 456096.

Almost surely, 2^88008000 is an apocalyptic number.

88008000 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 88008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153741120).

88008000 is an abundant number, since it is smaller than the sum of its proper divisors (219474240).

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

88008000 is a wasteful number, since it uses less digits than its factorization.

88008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 88008000 is about 9381.2579113891. The cubic root of 88008000 is about 444.8094963727.

Adding to 88008000 its reverse (80088), we get a palindrome (88088088).

It can be divided in two parts, 8 and 8008000, that added together give a palindrome (8008008).

The spelling of 88008000 in words is "eighty-eight million, eight thousand".