88512900 has 144 divisors (see below), whose sum is σ = 296064384. Its totient is φ = 19998720.

The previous prime is 88512899. The next prime is 88512911. The reversal of 88512900 is 921588.

It is a happy 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 47 ways as a sum of consecutive naturals, for example, 237114 + ... + 237486.

Almost surely, 2^88512900 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 88512900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148032192).

88512900 is an abundant number, since it is smaller than the sum of its proper divisors (207551484).

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

88512900 is a wasteful number, since it uses less digits than its factorization.

88512900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 88512900 is about 9408.1294633949. The cubic root of 88512900 is about 445.6584957056.

The spelling of 88512900 in words is "eighty-eight million, five hundred twelve thousand, nine hundred".