89940000 has 120 divisors (see below), whose sum is σ = 295218000. Its totient is φ = 23968000.

The previous prime is 89939989. The next prime is 89940001. The reversal of 89940000 is 4998.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 89940000.

It is not an unprimeable number, because it can be changed into a prime (89940001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59251 + ... + 60749.

It is an arithmetic number, because the mean of its divisors is an integer number (2460150).

Almost surely, 2^89940000 is an apocalyptic number.

89940000 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 89940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147609000).

89940000 is an abundant number, since it is smaller than the sum of its proper divisors (205278000).

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

89940000 is a wasteful number, since it uses less digits than its factorization.

89940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 89940000 is about 9483.6701756229. The cubic root of 89940000 is about 448.0408657450.

Adding to 89940000 its reverse (4998), we get a palindrome (89944998).

The spelling of 89940000 in words is "eighty-nine million, nine hundred forty thousand".