8523840 has 112 divisors (see below), whose sum is σ = 29187648. Its totient is φ = 2095104.

The previous prime is 8523821. The next prime is 8523841. The reversal of 8523840 is 483258.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 8523798 and 8523807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8523841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12139 + ... + 12821.

It is an arithmetic number, because the mean of its divisors is an integer number (260604).

Almost surely, 2^8523840 is an apocalyptic number.

8523840 is a gapful number since it is divisible by the number (80) 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 8523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14593824).

8523840 is an abundant number, since it is smaller than the sum of its proper divisors (20663808).

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

8523840 is a wasteful number, since it uses less digits than its factorization.

8523840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 8523840 is about 2919.5616109272. The cubic root of 8523840 is about 204.2733743644.

The spelling of 8523840 in words is "eight million, five hundred twenty-three thousand, eight hundred forty".