89666136 has 128 divisors (see below), whose sum is σ = 293990400. Its totient is φ = 24779520.

The previous prime is 89666131. The next prime is 89666153. The reversal of 89666136 is 63166698.

89666136 = T₃₃₆ + T₃₃₇ + ... + T₈₃₁.

89666136 is a nontrivial binomial coefficient, being equal to C(13392, 2).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 89666091 and 89666100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89666131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45916 + ... + 47828.

It is an arithmetic number, because the mean of its divisors is an integer number (2296800).

Almost surely, 2^89666136 is an apocalyptic number.

89666136 is the 13391-st triangular number and also the 6696-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89666136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146995200).

89666136 is an abundant number, since it is smaller than the sum of its proper divisors (204324264).

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

89666136 is a wasteful number, since it uses less digits than its factorization.

89666136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1956 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 89666136 is about 9469.2204536593. The cubic root of 89666136 is about 447.5856473918.

The spelling of 89666136 in words is "eighty-nine million, six hundred sixty-six thousand, one hundred thirty-six".