88336000 has 64 divisors (see below), whose sum is σ = 219665160. Its totient is φ = 35328000.

The previous prime is 88335979. The next prime is 88336007. The reversal of 88336000 is 63388.

It can be written as a sum of positive squares in 4 ways, for example, as 17372224 + 70963776 = 4168^2 + 8424^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 88336000.

It is not an unprimeable number, because it can be changed into a prime (88336007) 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 7 ways as a sum of consecutive naturals, for example, 13240 + ... + 18760.

Almost surely, 2^88336000 is an apocalyptic number.

88336000 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 88336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109832580).

88336000 is an abundant number, since it is smaller than the sum of its proper divisors (131329160).

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

88336000 is an equidigital number, since it uses as much as digits as its factorization.

88336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5550 (or 5528 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 88336000 is about 9398.7233175576. The cubic root of 88336000 is about 445.3614031653.

Adding to 88336000 its reverse (63388), we get a palindrome (88399388).

The spelling of 88336000 in words is "eighty-eight million, three hundred thirty-six thousand".