89769600 has 192 divisors, whose sum is σ = 328848000. Its totient is φ = 23915520.

The previous prime is 89769599. The next prime is 89769619. The reversal of 89769600 is 696798.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 85881 + ... + 86919.

It is an arithmetic number, because the mean of its divisors is an integer number (1712750).

Almost surely, 2^89769600 is an apocalyptic number.

89769600 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 89769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164424000).

89769600 is an abundant number, since it is smaller than the sum of its proper divisors (239078400).

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

89769600 is a wasteful number, since it uses less digits than its factorization.

89769600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 89769600 is about 9474.6820527129. The cubic root of 89769600 is about 447.7577346598.

The spelling of 89769600 in words is "eighty-nine million, seven hundred sixty-nine thousand, six hundred".