88661920 has 24 divisors (see below), whose sum is σ = 209464164. Its totient is φ = 35464704.

The previous prime is 88661917. The next prime is 88661921. The reversal of 88661920 is 2916688.

It can be written as a sum of positive squares in 2 ways, for example, as 88585744 + 76176 = 9412^2 + 276^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (88661921) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 276909 + ... + 277228.

Almost surely, 2^88661920 is an apocalyptic number.

88661920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88661920 is an abundant number, since it is smaller than the sum of its proper divisors (120802244).

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

88661920 is a wasteful number, since it uses less digits than its factorization.

88661920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554152 (or 554144 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 88661920 is about 9416.0458792425. The cubic root of 88661920 is about 445.9084584926.

The spelling of 88661920 in words is "eighty-eight million, six hundred sixty-one thousand, nine hundred twenty".