88816000 has 256 divisors, whose sum is σ = 276232320. Its totient is φ = 27648000.

The previous prime is 88815983. The next prime is 88816001. The reversal of 88816000 is 61888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88816001) 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 31 ways as a sum of consecutive naturals, for example, 1455970 + ... + 1456030.

Almost surely, 2^88816000 is an apocalyptic number.

88816000 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 88816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138116160).

88816000 is an abundant number, since it is smaller than the sum of its proper divisors (187416320).

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

88816000 is a wasteful number, since it uses less digits than its factorization.

88816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 88816000 is about 9424.2241059941. The cubic root of 88816000 is about 446.1666144704.

Adding to 88816000 its reverse (61888), we get a palindrome (88877888).

The spelling of 88816000 in words is "eighty-eight million, eight hundred sixteen thousand".