88117820 has 96 divisors (see below), whose sum is σ = 225093120. Its totient is φ = 28304640.

The previous prime is 88117819. The next prime is 88117829. The reversal of 88117820 is 2871188.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88117829) 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, 417515 + ... + 417725.

It is an arithmetic number, because the mean of its divisors is an integer number (2344720).

Almost surely, 2^88117820 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 88117820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112546560).

88117820 is an abundant number, since it is smaller than the sum of its proper divisors (136975300).

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

88117820 is a wasteful number, since it uses less digits than its factorization.

88117820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 35.

The square root of 88117820 is about 9387.1092461950. The cubic root of 88117820 is about 444.9944366598.

The spelling of 88117820 in words is "eighty-eight million, one hundred seventeen thousand, eight hundred twenty".