89123200 has 48 divisors (see below), whose sum is σ = 220170060. Its totient is φ = 35648000.

The previous prime is 89123179. The next prime is 89123201. The reversal of 89123200 is 232198.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89123201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10726 + ... + 17125.

Almost surely, 2^89123200 is an apocalyptic number.

89123200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89123200 is an abundant number, since it is smaller than the sum of its proper divisors (131046860).

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

89123200 is a wasteful number, since it uses less digits than its factorization.

89123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27875 (or 27858 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 89123200 is about 9440.5084608828. The cubic root of 89123200 is about 446.6804282783.

Adding to 89123200 its reverse (232198), we get a palindrome (89355398).

The spelling of 89123200 in words is "eighty-nine million, one hundred twenty-three thousand, two hundred".