89941800 has 144 divisors (see below), whose sum is σ = 302257440. Its totient is φ = 22114560.

The previous prime is 89941777. The next prime is 89941807. The reversal of 89941800 is 814998.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (89941807) 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 35 ways as a sum of consecutive naturals, for example, 100957 + ... + 101843.

It is an arithmetic number, because the mean of its divisors is an integer number (2099010).

Almost surely, 2^89941800 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 89941800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151128720).

89941800 is an abundant number, since it is smaller than the sum of its proper divisors (212315640).

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

89941800 is a wasteful number, since it uses less digits than its factorization.

89941800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 89941800 is about 9483.7650751165. The cubic root of 89941800 is about 448.0438546568.

The spelling of 89941800 in words is "eighty-nine million, nine hundred forty-one thousand, eight hundred".