8249760 has 144 divisors (see below), whose sum is σ = 29896776. Its totient is φ = 2064384.

The previous prime is 8249723. The next prime is 8249783. The reversal of 8249760 is 679428.

8249760 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6780816 + 1468944 = 2604^2 + 1212^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24312 + ... + 24648.

Almost surely, 2^8249760 is an apocalyptic number.

8249760 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 8249760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14948388).

8249760 is an abundant number, since it is smaller than the sum of its proper divisors (21647016).

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

8249760 is a wasteful number, since it uses less digits than its factorization.

8249760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 8249760 is about 2872.2395443277. The cubic root of 8249760 is about 202.0600416230.

It can be divided in two parts, 8249 and 760, that added together give a palindrome (9009).

The spelling of 8249760 in words is "eight million, two hundred forty-nine thousand, seven hundred sixty".