89283600 has 240 divisors, whose sum is σ = 363488640. Its totient is φ = 20390400.

The previous prime is 89283587. The next prime is 89283619. The reversal of 89283600 is 638298.

It is a Cunningham number, because it is equal to 9449²-1.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×89283600² = 15943122457920000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75010 + ... + 76190.

It is an arithmetic number, because the mean of its divisors is an integer number (1514536).

Almost surely, 2^89283600 is an apocalyptic number.

89283600 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 89283600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181744320).

89283600 is an abundant number, since it is smaller than the sum of its proper divisors (274205040).

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

89283600 is a wasteful number, since it uses less digits than its factorization.

89283600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 89283600 is about 9448.9999470843. Note that the first 4 decimals coincide. The cubic root of 89283600 is about 446.9482395812.

The spelling of 89283600 in words is "eighty-nine million, two hundred eighty-three thousand, six hundred".