88643688 has 64 divisors (see below), whose sum is σ = 256512000. Its totient is φ = 25002432.

The previous prime is 88643671. The next prime is 88643689. The reversal of 88643688 is 88634688.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 88643688.

It is not an unprimeable number, because it can be changed into a prime (88643689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9933 + ... + 16611.

It is an arithmetic number, because the mean of its divisors is an integer number (4008000).

Almost surely, 2^88643688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88643688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128256000).

88643688 is an abundant number, since it is smaller than the sum of its proper divisors (167868312).

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

88643688 is a wasteful number, since it uses less digits than its factorization.

88643688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6774 (or 6770 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 51.

The square root of 88643688 is about 9415.0776948467. The cubic root of 88643688 is about 445.8778915918.

The spelling of 88643688 in words is "eighty-eight million, six hundred forty-three thousand, six hundred eighty-eight".