5763600 has 90 divisors (see below), whose sum is σ = 20013786. Its totient is φ = 1536000.

The previous prime is 5763587. The next prime is 5763617. The reversal of 5763600 is 63675.

5763600 is a `hidden beast` number, since 57 + 6 + 3 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1937664 + 3825936 = 1392^2 + 1956^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2800 + ... + 4400.

Almost surely, 2^5763600 is an apocalyptic number.

5763600 is a gapful number since it is divisible by the number (50) 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 5763600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10006893).

5763600 is an abundant number, since it is smaller than the sum of its proper divisors (14250186).

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

5763600 is a wasteful number, since it uses less digits than its factorization.

5763600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 5763600 is about 2400.7498828491. The cubic root of 5763600 is about 179.2935271243.

It can be divided in two parts, 576 and 3600, that multiplied together give a square (2073600 = 1440²).

The spelling of 5763600 in words is "five million, seven hundred sixty-three thousand, six hundred".