8813520 has 60 divisors (see below), whose sum is σ = 29601156. Its totient is φ = 2350080.

The previous prime is 8813513. The next prime is 8813527. The reversal of 8813520 is 253188.

It is a happy number.

8813520 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8813513) and next prime (8813527).

It can be written as a sum of positive squares in 2 ways, for example, as 2702736 + 6110784 = 1644^2 + 2472^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8813527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5401 + ... + 6840.

Almost surely, 2^8813520 is an apocalyptic number.

8813520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8813520 is an abundant number, since it is smaller than the sum of its proper divisors (20787636).

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

8813520 is a wasteful number, since it uses less digits than its factorization.

8813520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12260 (or 12251 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 8813520 is about 2968.7573157805. The cubic root of 8813520 is about 206.5616994994.

The spelling of 8813520 in words is "eight million, eight hundred thirteen thousand, five hundred twenty".