88336320 has 224 divisors, whose sum is σ = 307238400. Its totient is φ = 21417984.

The previous prime is 88336309. The next prime is 88336333. The reversal of 88336320 is 2363388.

It is a super-2 number, since 2×88336320² = 15606610862284800, which contains 22 as substring.

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, 528877 + ... + 529043.

It is an arithmetic number, because the mean of its divisors is an integer number (1371600).

Almost surely, 2^88336320 is an apocalyptic number.

88336320 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 88336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153619200).

88336320 is an abundant number, since it is smaller than the sum of its proper divisors (218902080).

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

88336320 is a wasteful number, since it uses less digits than its factorization.

88336320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 88336320 is about 9398.7403411308. The cubic root of 88336320 is about 445.3619409434.

The spelling of 88336320 in words is "eighty-eight million, three hundred thirty-six thousand, three hundred twenty".