88688640 has 96 divisors (see below), whose sum is σ = 283832640. Its totient is φ = 23642112.

The previous prime is 88688603. The next prime is 88688651. The reversal of 88688640 is 4688688.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 88688640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29277 + ... + 32163.

It is an arithmetic number, because the mean of its divisors is an integer number (2956590).

Almost surely, 2^88688640 is an apocalyptic number.

88688640 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 88688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141916320).

88688640 is an abundant number, since it is smaller than the sum of its proper divisors (195144000).

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

88688640 is a wasteful number, since it uses less digits than its factorization.

88688640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The square root of 88688640 is about 9417.4646269577. The cubic root of 88688640 is about 445.9532483990.

Adding to 88688640 its sum of digits (48), we get a palindrome (88688688).

The spelling of 88688640 in words is "eighty-eight million, six hundred eighty-eight thousand, six hundred forty".