88622688 has 192 divisors, whose sum is σ = 305786880. Its totient is φ = 21772800.

The previous prime is 88622687. The next prime is 88622701.

88622688 is nontrivially palindromic in base 10.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88622687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140133 + ... + 140763.

It is an arithmetic number, because the mean of its divisors is an integer number (1592640).

Almost surely, 2^88622688 is an apocalyptic number.

88622688 is a gapful number since it is divisible by the number (88) 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 88622688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152893440).

88622688 is an abundant number, since it is smaller than the sum of its proper divisors (217164192).

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

88622688 is a wasteful number, since it uses less digits than its factorization.

88622688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 673 counting only the distinct ones).

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

The square root of 88622688 is about 9413.9623963557. The cubic root of 88622688 is about 445.8426787998.

The spelling of 88622688 in words is "eighty-eight million, six hundred twenty-two thousand, six hundred eighty-eight".