5561952 has 96 divisors (see below), whose sum is σ = 16692480. Its totient is φ = 1605120.

The previous prime is 5561947. The next prime is 5561953. The reversal of 5561952 is 2591655.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5561953) 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 15 ways as a sum of consecutive naturals, for example, 24174 + ... + 24402.

It is an arithmetic number, because the mean of its divisors is an integer number (173880).

Almost surely, 2^5561952 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 5561952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8346240).

5561952 is an abundant number, since it is smaller than the sum of its proper divisors (11130528).

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

5561952 is a wasteful number, since it uses less digits than its factorization.

5561952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 268 counting only the distinct ones).

The product of its digits is 13500, while the sum is 33.

The square root of 5561952 is about 2358.3791043850. The cubic root of 5561952 is about 177.1777078252.

The spelling of 5561952 in words is "five million, five hundred sixty-one thousand, nine hundred fifty-two".