88821648 has 60 divisors (see below), whose sum is σ = 249610140. Its totient is φ = 29484288.

The previous prime is 88821631. The next prime is 88821659. The reversal of 88821648 is 84612888.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 14379264 + 74442384 = 3792^2 + 8628^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 37590 + ... + 39882.

It is an arithmetic number, because the mean of its divisors is an integer number (4160169).

Almost surely, 2^88821648 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 88821648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124805070).

88821648 is an abundant number, since it is smaller than the sum of its proper divisors (160788492).

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

88821648 is a wasteful number, since it uses less digits than its factorization.

88821648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576 (or 2567 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 88821648 is about 9424.5237545459. The cubic root of 88821648 is about 446.1760718340.

The spelling of 88821648 in words is "eighty-eight million, eight hundred twenty-one thousand, six hundred forty-eight".