536640 has 112 divisors (see below), whose sum is σ = 1877568. Its totient is φ = 129024.

The previous prime is 536633. The next prime is 536651. The reversal of 536640 is 46635.

536640 = T₁₃₆ + T₁₃₇ + ... + T₁₇₈.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 536640.

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 536640.

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, 12459 + ... + 12501.

It is an arithmetic number, because the mean of its divisors is an integer number (16764).

2⁵³⁶⁶⁴⁰ 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 536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938784).

536640 is an abundant number, since it is smaller than the sum of its proper divisors (1340928).

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

536640 is a wasteful number, since it uses less digits than its factorization.

536640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 536640 is about 732.5571650049. The cubic root of 536640 is about 81.2632798806.

It can be divided in two parts, 536 and 640, that added together give a triangular number (1176 = T₄₈).

The spelling of 536640 in words is "five hundred thirty-six thousand, six hundred forty".