5631920 has 80 divisors (see below), whose sum is σ = 15266880. Its totient is φ = 1892352.

The previous prime is 5631911. The next prime is 5631943. The reversal of 5631920 is 291365.

It is a tau number, because it is divible by the number of its divisors (80).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5631920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49784 + ... + 49896.

It is an arithmetic number, because the mean of its divisors is an integer number (190836).

Almost surely, 2^5631920 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 5631920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7633440).

5631920 is an abundant number, since it is smaller than the sum of its proper divisors (9634960).

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

5631920 is a wasteful number, since it uses less digits than its factorization.

5631920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 5631920 is about 2373.1666608142. The cubic root of 5631920 is about 177.9175648249.

The spelling of 5631920 in words is "five million, six hundred thirty-one thousand, nine hundred twenty".