89626800 has 120 divisors (see below), whose sum is σ = 302292160. Its totient is φ = 22636800.

The previous prime is 89626793. The next prime is 89626807. The reversal of 89626800 is 862698.

It is an interprime number because it is at equal distance from previous prime (89626793) and next prime (89626807).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (89626807) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 20835 + ... + 24765.

Almost surely, 2^89626800 is an apocalyptic number.

89626800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89626800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151146080).

89626800 is an abundant number, since it is smaller than the sum of its proper divisors (212665360).

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

89626800 is a wasteful number, since it uses less digits than its factorization.

89626800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3971 (or 3960 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 89626800 is about 9467.1431804954. The cubic root of 89626800 is about 447.5201867656.

The spelling of 89626800 in words is "eighty-nine million, six hundred twenty-six thousand, eight hundred".