89485776 has 80 divisors (see below), whose sum is σ = 258019200. Its totient is φ = 29693952.

The previous prime is 89485769. The next prime is 89485777. The reversal of 89485776 is 67758498.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89485777) 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 15 ways as a sum of consecutive naturals, for example, 154800 + ... + 155376.

It is an arithmetic number, because the mean of its divisors is an integer number (3225240).

Almost surely, 2^89485776 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 89485776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129009600).

89485776 is an abundant number, since it is smaller than the sum of its proper divisors (168533424).

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

89485776 is a wasteful number, since it uses less digits than its factorization.

89485776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 941 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 89485776 is about 9459.6921725815. The cubic root of 89485776 is about 447.2853454879.

The spelling of 89485776 in words is "eighty-nine million, four hundred eighty-five thousand, seven hundred seventy-six".