89023200 has 216 divisors, whose sum is σ = 337525272. Its totient is φ = 20321280.

The previous prime is 89023183. The next prime is 89023211. The reversal of 89023200 is 232098.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 117222 + ... + 117978.

It is an arithmetic number, because the mean of its divisors is an integer number (1562617).

Almost surely, 2^89023200 is an apocalyptic number.

89023200 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 89023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168762636).

89023200 is an abundant number, since it is smaller than the sum of its proper divisors (248502072).

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

89023200 is a wasteful number, since it uses less digits than its factorization.

89023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 89023200 is about 9435.2106494768. The cubic root of 89023200 is about 446.5133009769.

Adding to 89023200 its reverse (232098), we get a palindrome (89255298).

It can be divided in two parts, 890 and 23200, that added together give a triangular number (24090 = T₂₁₉).

The spelling of 89023200 in words is "eighty-nine million, twenty-three thousand, two hundred".