8125600 has 72 divisors (see below), whose sum is σ = 22686048. Its totient is φ = 2784000.

The previous prime is 8125583. The next prime is 8125631. The reversal of 8125600 is 65218.

It is a happy number.

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, 4875 + ... + 6325.

It is an arithmetic number, because the mean of its divisors is an integer number (315084).

Almost surely, 2^8125600 is an apocalyptic number.

8125600 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 8125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11343024).

8125600 is an abundant number, since it is smaller than the sum of its proper divisors (14560448).

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

8125600 is a wasteful number, since it uses less digits than its factorization.

8125600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 8125600 is about 2850.5438077672. The cubic root of 8125600 is about 201.0412363932.

It can be divided in two parts, 81 and 25600, that multiplied together give a square (2073600 = 1440²).

The spelling of 8125600 in words is "eight million, one hundred twenty-five thousand, six hundred".