8761600 has 81 divisors (see below), whose sum is σ = 22288287. Its totient is φ = 3409920.

The previous prime is 8761547. The next prime is 8761601. The reversal of 8761600 is 61678.

The square root of 8761600 is 2960.

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

It can be written as a sum of positive squares in 4 ways, for example, as 831744 + 7929856 = 912^2 + 2816^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8761601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 236782 + ... + 236818.

Almost surely, 2^8761600 is an apocalyptic number.

8761600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8761600 is the 2960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8761600

8761600 is an abundant number, since it is smaller than the sum of its proper divisors (13526687).

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

8761600 is an equidigital number, since it uses as much as digits as its factorization.

8761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The cubic root of 8761600 is about 206.1552855598.

The spelling of 8761600 in words is "eight million, seven hundred sixty-one thousand, six hundred".