5764100 has 18 divisors (see below), whose sum is σ = 12508314. Its totient is φ = 2305600.

The previous prime is 5764097. The next prime is 5764103. The reversal of 5764100 is 14675.

It is an interprime number because it is at equal distance from previous prime (5764097) and next prime (5764103).

It can be written as a sum of positive squares in 3 ways, for example, as 42436 + 5721664 = 206^2 + 2392^2 .

It is not an unprimeable number, because it can be changed into a prime (5764103) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 28721 + ... + 28920.

Almost surely, 2^5764100 is an apocalyptic number.

5764100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5764100 is an abundant number, since it is smaller than the sum of its proper divisors (6744214).

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

5764100 is a wasteful number, since it uses less digits than its factorization.

5764100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57655 (or 57648 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 5764100 is about 2400.8540147206. The cubic root of 5764100 is about 179.2987116254.

Adding to 5764100 its reverse (14675), we get a palindrome (5778775).

The spelling of 5764100 in words is "five million, seven hundred sixty-four thousand, one hundred".