89785548 has 72 divisors (see below), whose sum is σ = 239855616. Its totient is φ = 28274400.

The previous prime is 89785543. The next prime is 89785567. The reversal of 89785548 is 84558798.

89785548 is a `hidden beast` number, since 8 + 97 + 8 + 5 + 548 = 666.

It is a super-2 number, since 2×89785548² = 16122889259320608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 89785494 and 89785503.

It is not an unprimeable number, because it can be changed into a prime (89785543) 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 23 ways as a sum of consecutive naturals, for example, 47053 + ... + 48923.

It is an arithmetic number, because the mean of its divisors is an integer number (3331328).

Almost surely, 2^89785548 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 89785548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119927808).

89785548 is an abundant number, since it is smaller than the sum of its proper divisors (150070068).

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

89785548 is a wasteful number, since it uses less digits than its factorization.

89785548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1950 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 54.

The square root of 89785548 is about 9475.5236266921. The cubic root of 89785548 is about 447.7842485262.

The spelling of 89785548 in words is "eighty-nine million, seven hundred eighty-five thousand, five hundred forty-eight".