89229600 has 324 divisors, whose sum is σ = 345950514. Its totient is φ = 22394880.

The previous prime is 89229593. The next prime is 89229611. The reversal of 89229600 is 692298.

It can be written as a sum of positive squares in 3 ways, for example, as 76527504 + 12702096 = 8748^2 + 3564^2 .

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5248792 + ... + 5248808.

Almost surely, 2^89229600 is an apocalyptic number.

89229600 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 89229600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172975257).

89229600 is an abundant number, since it is smaller than the sum of its proper divisors (256720914).

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

89229600 is an equidigital number, since it uses as much as digits as its factorization.

89229600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 89229600 is about 9446.1420696494. The cubic root of 89229600 is about 446.8581145102.

The spelling of 89229600 in words is "eighty-nine million, two hundred twenty-nine thousand, six hundred".