8381520 has 120 divisors (see below), whose sum is σ = 32188416. Its totient is φ = 1914624.

The previous prime is 8381497. The next prime is 8381531. The reversal of 8381520 is 251838.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4209 + ... + 5871.

Almost surely, 2^8381520 is an apocalyptic number.

8381520 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 8381520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16094208).

8381520 is an abundant number, since it is smaller than the sum of its proper divisors (23806896).

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

8381520 is a wasteful number, since it uses less digits than its factorization.

8381520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1680 counting only the distinct ones).

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

The square root of 8381520 is about 2895.0854909657. The cubic root of 8381520 is about 203.1300904444.

The spelling of 8381520 in words is "eight million, three hundred eighty-one thousand, five hundred twenty".