89777448 has 72 divisors (see below), whose sum is σ = 247471770. Its totient is φ = 29401920.

The previous prime is 89777447. The next prime is 89777497. The reversal of 89777448 is 84477798.

It can be written as a sum of positive squares in only one way, i.e., 89529444 + 248004 = 9462^2 + 498^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 89777394 and 89777403.

It is not an unprimeable number, because it can be changed into a prime (89777447) 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 17 ways as a sum of consecutive naturals, for example, 495918 + ... + 496098.

Almost surely, 2^89777448 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 89777448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123735885).

89777448 is an abundant number, since it is smaller than the sum of its proper divisors (157694322).

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

89777448 is a wasteful number, since it uses less digits than its factorization.

89777448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 269 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The square root of 89777448 is about 9475.0962000393. The cubic root of 89777448 is about 447.7707825079.

The spelling of 89777448 in words is "eighty-nine million, seven hundred seventy-seven thousand, four hundred forty-eight".