8949024 has 144 divisors (see below), whose sum is σ = 30506112. Its totient is φ = 2433024.

The previous prime is 8949013. The next prime is 8949037. The reversal of 8949024 is 4209498.

8949024 = 112² + 113² + ... + 304².

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8949024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46272 + ... + 46464.

It is an arithmetic number, because the mean of its divisors is an integer number (211848).

Almost surely, 2^8949024 is an apocalyptic number.

8949024 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8949024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15253056).

8949024 is an abundant number, since it is smaller than the sum of its proper divisors (21557088).

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

8949024 is a wasteful number, since it uses less digits than its factorization.

8949024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8949024 is about 2991.4919354730. The cubic root of 8949024 is about 207.6149186824.

The spelling of 8949024 in words is "eight million, nine hundred forty-nine thousand, twenty-four".