89722600 has 96 divisors (see below), whose sum is σ = 241056000. Its totient is φ = 30694400.

The previous prime is 89722597. The next prime is 89722601. The reversal of 89722600 is 622798.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (89722601) 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 23 ways as a sum of consecutive naturals, for example, 36201 + ... + 38599.

It is an arithmetic number, because the mean of its divisors is an integer number (2511000).

Almost surely, 2^89722600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89722600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120528000).

89722600 is an abundant number, since it is smaller than the sum of its proper divisors (151333400).

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

89722600 is a wasteful number, since it uses less digits than its factorization.

89722600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 89722600 is about 9472.2014336689. The cubic root of 89722600 is about 447.6795779590.

The spelling of 89722600 in words is "eighty-nine million, seven hundred twenty-two thousand, six hundred".