8065600 has 63 divisors (see below), whose sum is σ = 20129881. Its totient is φ = 3180800.

The previous prime is 8065583. The next prime is 8065613. The reversal of 8065600 is 65608.

The square root of 8065600 is 2840.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2903616 + 5161984 = 1704^2 + 2272^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 113565 + ... + 113635.

Almost surely, 2^8065600 is an apocalyptic number.

8065600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8065600 is the 2840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8065600

8065600 is an abundant number, since it is smaller than the sum of its proper divisors (12064281).

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

8065600 is an equidigital number, since it uses as much as digits as its factorization.

8065600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The cubic root of 8065600 is about 200.5451792145.

Multiplying 8065600 by its sum of digits (25), we get a square (201640000 = 14200²).

8065600 divided by its sum of digits (25) gives a square (322624 = 568²).

The spelling of 8065600 in words is "eight million, sixty-five thousand, six hundred".