5512640 has 112 divisors (see below), whose sum is σ = 15800832. Its totient is φ = 1790976.

The previous prime is 5512627. The next prime is 5512649. The reversal of 5512640 is 462155.

5512640 = T₁ + T₂ + ... + T₃₂₀.

5512640 is a nontrivial binomial coefficient, being equal to C(322, 3).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5512649) by changing a digit.

It is the 320-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51467 + ... + 51573.

Almost surely, 2^5512640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7900416).

5512640 is an abundant number, since it is smaller than the sum of its proper divisors (10288192).

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

5512640 is a wasteful number, since it uses less digits than its factorization.

5512640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 5512640 is about 2347.9011904252. The cubic root of 5512640 is about 176.6525363486.

Adding to 5512640 its reverse (462155), we get a palindrome (5974795).

The spelling of 5512640 in words is "five million, five hundred twelve thousand, six hundred forty".