88193800 has 48 divisors (see below), whose sum is σ = 208440900. Its totient is φ = 34694400.

The previous prime is 88193797. The next prime is 88193803. The reversal of 88193800 is 839188.

It is an interprime number because it is at equal distance from previous prime (88193797) and next prime (88193803).

It can be written as a sum of positive squares in 6 ways, for example, as 37527876 + 50665924 = 6126^2 + 7118^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 88193800.

It is not an unprimeable number, because it can be changed into a prime (88193803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8586 + ... + 15814.

Almost surely, 2^88193800 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 88193800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104220450).

88193800 is an abundant number, since it is smaller than the sum of its proper divisors (120247100).

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

88193800 is a wasteful number, since it uses less digits than its factorization.

88193800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7306 (or 7297 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 88193800 is about 9391.1554134728. The cubic root of 88193800 is about 445.1222994241.

The spelling of 88193800 in words is "eighty-eight million, one hundred ninety-three thousand, eight hundred".