89116461 has 24 divisors (see below), whose sum is σ = 151092864. Its totient is φ = 49546080.

The previous prime is 89116459. The next prime is 89116471. The reversal of 89116461 is 16461198.

It is a happy number.

89116461 is a `hidden beast` number, since 8 + 9 + 1 + 1 + 646 + 1 = 666.

It is not a de Polignac number, because 89116461 - 2¹ = 89116459 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89116451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16785 + ... + 21446.

It is an arithmetic number, because the mean of its divisors is an integer number (6295536).

Almost surely, 2^89116461 is an apocalyptic number.

It is an amenable number.

89116461 is a deficient number, since it is larger than the sum of its proper divisors (61976403).

89116461 is a wasteful number, since it uses less digits than its factorization.

89116461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38281 (or 38278 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 89116461 is about 9440.1515348007. The cubic root of 89116461 is about 446.6691694991.

The spelling of 89116461 in words is "eighty-nine million, one hundred sixteen thousand, four hundred sixty-one".