116544 has 28 divisors (see below), whose sum is σ = 308864. Its totient is φ = 38784.

The previous prime is 116539. The next prime is 116549. The reversal of 116544 is 445611.

It is an interprime number because it is at equal distance from previous prime (116539) and next prime (116549).

It is a self number, because there is not a number *n* which added to its sum of digits gives 116544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116549) by changing a digit.

116544 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 112 + ... + 495.

2^{116544} is an apocalyptic number.

It is an amenable number.

116544 is an abundant number, since it is smaller than the sum of its proper divisors (192320).

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

116544 is an equidigital number, since it uses as much as digits as its factorization.

116544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 612 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 116544 is about 341.3854126936. The cubic root of 116544 is about 48.8461088881.

It can be divided in two parts, 11 and 6544, that added together give a triangular number (6555 = T_{114}).

The spelling of 116544 in words is "one hundred sixteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 607 1214 1821 2428 3642 4856 7284 9712 14568 19424 29136 38848 58272 116544

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