89029600 has 144 divisors (see below), whose sum is σ = 242234496. Its totient is φ = 31680000.

The previous prime is 89029597. The next prime is 89029601. The reversal of 89029600 is 692098.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89029601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 589525 + ... + 589675.

It is an arithmetic number, because the mean of its divisors is an integer number (1682184).

Almost surely, 2^89029600 is an apocalyptic number.

89029600 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 89029600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121117248).

89029600 is an abundant number, since it is smaller than the sum of its proper divisors (153204896).

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

89029600 is a wasteful number, since it uses less digits than its factorization.

89029600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 89029600 is about 9435.5497985014. The cubic root of 89029600 is about 446.5240008717.

The spelling of 89029600 in words is "eighty-nine million, twenty-nine thousand, six hundred".