8245600 has 72 divisors (see below), whose sum is σ = 21982968. Its totient is φ = 2995200.

The previous prime is 8245579. The next prime is 8245621. The reversal of 8245600 is 65428.

It is an interprime number because it is at equal distance from previous prime (8245579) and next prime (8245621).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8332 + ... + 9268.

It is an arithmetic number, because the mean of its divisors is an integer number (305319).

Almost surely, 2^8245600 is an apocalyptic number.

8245600 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 8245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10991484).

8245600 is an abundant number, since it is smaller than the sum of its proper divisors (13737368).

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

8245600 is a wasteful number, since it uses less digits than its factorization.

8245600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 8245600 is about 2871.5152794300. The cubic root of 8245600 is about 202.0260725095.

The spelling of 8245600 in words is "eight million, two hundred forty-five thousand, six hundred".