5632960 has 56 divisors (see below), whose sum is σ = 13898880. Its totient is φ = 2171904.

The previous prime is 5632943. The next prime is 5632969. The reversal of 5632960 is 692365.

5632960 = 143² + 144² + ... + 270².

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5632969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8977 + ... + 9583.

Almost surely, 2^5632960 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 5632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6949440).

5632960 is an abundant number, since it is smaller than the sum of its proper divisors (8265920).

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

5632960 is a wasteful number, since it uses less digits than its factorization.

5632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 5632960 is about 2373.3857672111. The cubic root of 5632960 is about 177.9285156716.

The spelling of 5632960 in words is "five million, six hundred thirty-two thousand, nine hundred sixty".