536880 has 40 divisors (see below), whose sum is σ = 1665072. Its totient is φ = 143104.

The previous prime is 536869. The next prime is 536891. The reversal of 536880 is 88635.

It is an interprime number because it is at equal distance from previous prime (536869) and next prime (536891).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

536880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 879 + ... + 1358.

2⁵³⁶⁸⁸⁰ is an apocalyptic number.

It is an amenable number.

536880 is an abundant number, since it is smaller than the sum of its proper divisors (1128192).

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

536880 is a wasteful number, since it uses less digits than its factorization.

536880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 536880 is about 732.7209564357. The cubic root of 536880 is about 81.2753924579.

The spelling of 536880 in words is "five hundred thirty-six thousand, eight hundred eighty".