88145800 has 48 divisors (see below), whose sum is σ = 206499060. Its totient is φ = 34990080.

The previous prime is 88145789. The next prime is 88145857. The reversal of 88145800 is 854188.

It can be written as a sum of positive squares in 6 ways, for example, as 55860676 + 32285124 = 7474^2 + 5682^2 .

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, 25792 + ... + 29008.

Almost surely, 2^88145800 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 88145800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103249530).

88145800 is an abundant number, since it is smaller than the sum of its proper divisors (118353260).

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

88145800 is a wasteful number, since it uses less digits than its factorization.

88145800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 3361 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The square root of 88145800 is about 9388.5994695695. The cubic root of 88145800 is about 445.0415312835.

Adding to 88145800 its reverse (854188), we get a palindrome (88999988).

The spelling of 88145800 in words is "eighty-eight million, one hundred forty-five thousand, eight hundred".