88881300 has 90 divisors (see below), whose sum is σ = 288144318. Its totient is φ = 23699520.

The previous prime is 88881293. The next prime is 88881323. The reversal of 88881300 is 318888.

It can be written as a sum of positive squares in 3 ways, for example, as 6906384 + 81974916 = 2628^2 + 9054^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 2614 + ... + 13586.

Almost surely, 2^88881300 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 88881300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144072159).

88881300 is an abundant number, since it is smaller than the sum of its proper divisors (199263018).

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

88881300 is a wasteful number, since it uses less digits than its factorization.

88881300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10999 (or 10983 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 88881300 is about 9427.6879456206. The cubic root of 88881300 is about 446.2759323960.

The spelling of 88881300 in words is "eighty-eight million, eight hundred eighty-one thousand, three hundred".