536760 has 128 divisors (see below), whose sum is σ = 2073600. Its totient is φ = 120960.

The previous prime is 536749. The next prime is 536771. The reversal of 536760 is 67635.

It is an interprime number because it is at equal distance from previous prime (536749) and next prime (536771).

It is a super-2 number, since 2×536760² = 576222595200, which contains 22 as substring.

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

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7525 + ... + 7595.

It is an arithmetic number, because the mean of its divisors is an integer number (16200).

2⁵³⁶⁷⁶⁰ 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 536760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036800).

536760 is an abundant number, since it is smaller than the sum of its proper divisors (1536840).

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

536760 is a wasteful number, since it uses less digits than its factorization.

536760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 88 counting only the distinct ones).

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

The square root of 536760 is about 732.6390652975. The cubic root of 536760 is about 81.2693366206.

It can be divided in two parts, 536 and 760, that added together give a 4-th power (1296 = 6⁴).

The spelling of 536760 in words is "five hundred thirty-six thousand, seven hundred sixty".