8249920 has 112 divisors (see below), whose sum is σ = 23408640. Its totient is φ = 2709504.

The previous prime is 8249909. The next prime is 8249921. The reversal of 8249920 is 299428.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×8249920² = 136122360012800, which contains 22 as substring.

8249920 is a Rhonda number in base 12.

It is not an unprimeable number, because it can be changed into a prime (8249921) 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 15 ways as a sum of consecutive naturals, for example, 64897 + ... + 65023.

Almost surely, 2^8249920 is an apocalyptic number.

8249920 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 8249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11704320).

8249920 is an abundant number, since it is smaller than the sum of its proper divisors (15158720).

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

8249920 is a wasteful number, since it uses less digits than its factorization.

8249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 8249920 is about 2872.2673970228. The cubic root of 8249920 is about 202.0613478993.

The spelling of 8249920 in words is "eight million, two hundred forty-nine thousand, nine hundred twenty".