88320000 has 240 divisors, whose sum is σ = 307026720. Its totient is φ = 22528000.

The previous prime is 88319989. The next prime is 88320007. The reversal of 88320000 is 2388.

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

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88320007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3839989 + ... + 3840011.

It is an arithmetic number, because the mean of its divisors is an integer number (1279278).

Almost surely, 2^88320000 is an apocalyptic number.

88320000 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 88320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153513360).

88320000 is an abundant number, since it is smaller than the sum of its proper divisors (218706720).

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

88320000 is an equidigital number, since it uses as much as digits as its factorization.

88320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 88320000 is about 9397.8720995766. The cubic root of 88320000 is about 445.3345126084.

Adding to 88320000 its reverse (2388), we get a palindrome (88322388).

The spelling of 88320000 in words is "eighty-eight million, three hundred twenty thousand".