89906200 has 96 divisors (see below), whose sum is σ = 228735360. Its totient is φ = 32716800.

The previous prime is 89906191. The next prime is 89906203. The reversal of 89906200 is 260998.

89906200 = 121² + 122² + ... + 647².

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89906203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104974 + ... + 105826.

It is an arithmetic number, because the mean of its divisors is an integer number (2382660).

Almost surely, 2^89906200 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 89906200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114367680).

89906200 is an abundant number, since it is smaller than the sum of its proper divisors (138829160).

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

89906200 is a wasteful number, since it uses less digits than its factorization.

89906200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 89906200 is about 9481.8879976511. The cubic root of 89906200 is about 447.9847332170.

The spelling of 89906200 in words is "eighty-nine million, nine hundred six thousand, two hundred".