536976 has 80 divisors (see below), whose sum is σ = 1696320. Its totient is φ = 161280.

The previous prime is 536971. The next prime is 536989. The reversal of 536976 is 679635.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 536976.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 536976.

It is not an unprimeable number, because it can be changed into a prime (536971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4696 + ... + 4808.

It is an arithmetic number, because the mean of its divisors is an integer number (21204).

2⁵³⁶⁹⁷⁶ 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 536976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848160).

536976 is an abundant number, since it is smaller than the sum of its proper divisors (1159344).

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

536976 is a wasteful number, since it uses less digits than its factorization.

536976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 129 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 536976 is about 732.7864627571. The cubic root of 536976 is about 81.2802364781.

It can be divided in two parts, 5369 and 76, that added together give a palindrome (5445).

The spelling of 536976 in words is "five hundred thirty-six thousand, nine hundred seventy-six".