89867600 has 30 divisors (see below), whose sum is σ = 215907870. Its totient is φ = 35946880.

The previous prime is 89867597. The next prime is 89867629. The reversal of 89867600 is 676898.

It can be written as a sum of positive squares in 3 ways, for example, as 300304 + 89567296 = 548^2 + 9464^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111935 + ... + 112734.

It is an arithmetic number, because the mean of its divisors is an integer number (7196929).

Almost surely, 2^89867600 is an apocalyptic number.

89867600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89867600 is an abundant number, since it is smaller than the sum of its proper divisors (126040270).

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

89867600 is a wasteful number, since it uses less digits than its factorization.

89867600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224687 (or 224676 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 89867600 is about 9479.8523195248. The cubic root of 89867600 is about 447.9206119958.

The spelling of 89867600 in words is "eighty-nine million, eight hundred sixty-seven thousand, six hundred".