89973660 has 192 divisors, whose sum is σ = 304819200. Its totient is φ = 19396608.

The previous prime is 89973629. The next prime is 89973661. The reversal of 89973660 is 6637998.

89973660 = T₄₄₀ + T₄₄₁ + ... + T₈₅₄.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89973661) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1010896 + ... + 1010984.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 2^89973660 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 89973660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

89973660 is an abundant number, since it is smaller than the sum of its proper divisors (214845540).

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

89973660 is a wasteful number, since it uses less digits than its factorization.

89973660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 89973660 is about 9485.4446390246. Note that the first 3 decimals coincide. The cubic root of 89973660 is about 448.0967517971.

The spelling of 89973660 in words is "eighty-nine million, nine hundred seventy-three thousand, six hundred sixty".