89193600 has 288 divisors, whose sum is σ = 337069200. Its totient is φ = 22394880.

The previous prime is 89193583. The next prime is 89193617. The reversal of 89193600 is 639198.

It is an interprime number because it is at equal distance from previous prime (89193583) and next prime (89193617).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 547119 + ... + 547281.

Almost surely, 2^89193600 is an apocalyptic number.

89193600 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 89193600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168534600).

89193600 is an abundant number, since it is smaller than the sum of its proper divisors (247875600).

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

89193600 is a wasteful number, since it uses less digits than its factorization.

89193600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 89193600 is about 9444.2363375765. The cubic root of 89193600 is about 446.7980109271.

The spelling of 89193600 in words is "eighty-nine million, one hundred ninety-three thousand, six hundred".