8977248 has 144 divisors (see below), whose sum is σ = 30060576. Its totient is φ = 2488320.

The previous prime is 8977247. The next prime is 8977261. The reversal of 8977248 is 8427798.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8977247) 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, 122940 + ... + 123012.

It is an arithmetic number, because the mean of its divisors is an integer number (208754).

Almost surely, 2^8977248 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 8977248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15030288).

8977248 is an abundant number, since it is smaller than the sum of its proper divisors (21083328).

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

8977248 is a wasteful number, since it uses less digits than its factorization.

8977248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 146 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 8977248 is about 2996.2056004220. The cubic root of 8977248 is about 207.8329526632.

The spelling of 8977248 in words is "eight million, nine hundred seventy-seven thousand, two hundred forty-eight".