88355880 has 128 divisors (see below), whose sum is σ = 307411200. Its totient is φ = 22530816.

The previous prime is 88355873. The next prime is 88355887. The reversal of 88355880 is 8855388.

It is an interprime number because it is at equal distance from previous prime (88355873) and next prime (88355887).

It is a Smith number, since the sum of its digits (45) 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 (45).

It is not an unprimeable number, because it can be changed into a prime (88355887) 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, 23062 + ... + 26618.

It is an arithmetic number, because the mean of its divisors is an integer number (2401650).

Almost surely, 2^88355880 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 88355880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153705600).

88355880 is an abundant number, since it is smaller than the sum of its proper divisors (219055320).

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

88355880 is a wasteful number, since it uses less digits than its factorization.

88355880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600 (or 3590 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 88355880 is about 9399.7808485092. The cubic root of 88355880 is about 445.3948101591.

The spelling of 88355880 in words is "eighty-eight million, three hundred fifty-five thousand, eight hundred eighty".