8445600 has 288 divisors, whose sum is σ = 33747840. Its totient is φ = 2027520.

The previous prime is 8445599. The next prime is 8445601. The reversal of 8445600 is 65448.

It is an interprime number because it is at equal distance from previous prime (8445599) and next prime (8445601).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8445601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367189 + ... + 367211.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

Almost surely, 2^8445600 is an apocalyptic number.

8445600 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 8445600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16873920).

8445600 is an abundant number, since it is smaller than the sum of its proper divisors (25302240).

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

8445600 is a wasteful number, since it uses less digits than its factorization.

8445600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 8445600 is about 2906.1314491950. The cubic root of 8445600 is about 203.6464464318.

It can be divided in two parts, 8445 and 600, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 8445600 in words is "eight million, four hundred forty-five thousand, six hundred".