89949900 has 144 divisors (see below), whose sum is σ = 272982528. Its totient is φ = 22848000.

The previous prime is 89949889. The next prime is 89949901. The reversal of 89949900 is 994998.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 89949900.

It is not an unprimeable number, because it can be changed into a prime (89949901) 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 47 ways as a sum of consecutive naturals, for example, 873249 + ... + 873351.

It is an arithmetic number, because the mean of its divisors is an integer number (1895712).

Almost surely, 2^89949900 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 89949900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136491264).

89949900 is an abundant number, since it is smaller than the sum of its proper divisors (183032628).

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

89949900 is a wasteful number, since it uses less digits than its factorization.

89949900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 48.

The square root of 89949900 is about 9484.1921110867. The cubic root of 89949900 is about 448.0573042663.

The spelling of 89949900 in words is "eighty-nine million, nine hundred forty-nine thousand, nine hundred".