89934600 has 384 divisors, whose sum is σ = 357120000. Its totient is φ = 18627840.

The previous prime is 89934599. The next prime is 89934643. The reversal of 89934600 is 643998.

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 95 ways as a sum of consecutive naturals, for example, 3910189 + ... + 3910211.

It is an arithmetic number, because the mean of its divisors is an integer number (930000).

Almost surely, 2^89934600 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 89934600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178560000).

89934600 is an abundant number, since it is smaller than the sum of its proper divisors (267185400).

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

89934600 is a wasteful number, since it uses less digits than its factorization.

89934600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 89934600 is about 9483.3854714443. The cubic root of 89934600 is about 448.0318987703.

The spelling of 89934600 in words is "eighty-nine million, nine hundred thirty-four thousand, six hundred".