5640100 has 18 divisors (see below), whose sum is σ = 12239234. Its totient is φ = 2256000.

The previous prime is 5640079. The next prime is 5640119. The reversal of 5640100 is 10465.

It can be written as a sum of positive squares in 3 ways, for example, as 550564 + 5089536 = 742^2 + 2256^2 .

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 5 ways as a sum of consecutive naturals, for example, 28101 + ... + 28300.

Almost surely, 2^5640100 is an apocalyptic number.

5640100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5640100 is an abundant number, since it is smaller than the sum of its proper divisors (6599134).

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

5640100 is a wasteful number, since it uses less digits than its factorization.

5640100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56415 (or 56408 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 5640100 is about 2374.8894711123. The cubic root of 5640100 is about 178.0036610786.

Adding to 5640100 its reverse (10465), we get a palindrome (5650565).

The spelling of 5640100 in words is "five million, six hundred forty thousand, one hundred".