736560 has 160 divisors (see below), whose sum is σ = 2856960. Its totient is φ = 172800.

The previous prime is 736511. The next prime is 736577. The reversal of 736560 is 65637.

736560 is a `hidden beast` number, since 7 + 3 + 656 + 0 = 666.

736560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 736560.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23745 + ... + 23775.

It is an arithmetic number, because the mean of its divisors is an integer number (17856).

2⁷³⁶⁵⁶⁰ 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 736560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428480).

736560 is an abundant number, since it is smaller than the sum of its proper divisors (2120400).

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

736560 is a wasteful number, since it uses less digits than its factorization.

736560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 736560 is about 858.2307382051. The cubic root of 736560 is about 90.3100418188.

It can be divided in two parts, 736 and 560, that added together give a 4-th power (1296 = 6⁴).

The spelling of 736560 in words is "seven hundred thirty-six thousand, five hundred sixty".