89689600 has 360 divisors, whose sum is σ = 303683688. Its totient is φ = 25804800.

The previous prime is 89689573. The next prime is 89689631. The reversal of 89689600 is 698698.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6899194 + ... + 6899206.

Almost surely, 2^89689600 is an apocalyptic number.

89689600 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 89689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151841844).

89689600 is an abundant number, since it is smaller than the sum of its proper divisors (213994088).

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

89689600 is a wasteful number, since it uses less digits than its factorization.

89689600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 89689600 is about 9470.4593341611. The cubic root of 89689600 is about 447.6246856663.

It can be divided in two parts, 896 and 89600, that multiplied together give a square (80281600 = 8960²).

The spelling of 89689600 in words is "eighty-nine million, six hundred eighty-nine thousand, six hundred".