89224800 has 288 divisors, whose sum is σ = 341978112. Its totient is φ = 19783680.

The previous prime is 89224799. The next prime is 89224801. The reversal of 89224800 is 842298.

It is an interprime number because it is at equal distance from previous prime (89224799) and next prime (89224801).

It is a super-2 number, since 2×89224800² = 15922129870080000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89224801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 789544 + ... + 789656.

It is an arithmetic number, because the mean of its divisors is an integer number (1187424).

Almost surely, 2^89224800 is an apocalyptic number.

89224800 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 89224800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170989056).

89224800 is an abundant number, since it is smaller than the sum of its proper divisors (252753312).

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

89224800 is a wasteful number, since it uses less digits than its factorization.

89224800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 89224800 is about 9445.8879942544. The cubic root of 89224800 is about 446.8501016333.

The spelling of 89224800 in words is "eighty-nine million, two hundred twenty-four thousand, eight hundred".