85747600 has 45 divisors (see below), whose sum is σ = 206454513. Its totient is φ = 34224960.

The previous prime is 85747579. The next prime is 85747601. The reversal of 85747600 is 674758.

It is a happy number.

The square root of 85747600 is 9260.

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., 30869136 + 54878464 = 5556^2 + 7408^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 85747600.

It is not an unprimeable number, because it can be changed into a prime (85747601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 184969 + ... + 185431.

Almost surely, 2^85747600 is an apocalyptic number.

85747600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

85747600 is the 9260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85747600

85747600 is an abundant number, since it is smaller than the sum of its proper divisors (120706913).

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

85747600 is an equidigital number, since it uses as much as digits as its factorization.

85747600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The cubic root of 85747600 is about 440.9682533969.

The spelling of 85747600 in words is "eighty-five million, seven hundred forty-seven thousand, six hundred".