552960 has 104 divisors (see below), whose sum is σ = 1965840. Its totient is φ = 147456.

The previous prime is 552917. The next prime is 552971. The reversal of 552960 is 69255.

It is a Jordan-Polya number, since it can be written as 6! ⋅ 4! ⋅ (2!)^{5}.

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

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110590 + ... + 110594.

552960 is a Friedman number, since it can be written as 5*(50-2)^(9-6), using all its digits and the basic arithmetic operations.

2^{552960} 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 552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982920).

552960 is an abundant number, since it is smaller than the sum of its proper divisors (1412880).

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

552960 is an equidigital number, since it uses as much as digits as its factorization.

552960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 552960 is about 743.6128024718. The cubic root of 552960 is about 82.0788454405.

The spelling of 552960 in words is "five hundred fifty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1024 1080 1152 1280 1440 1536 1728 1920 2048 2160 2304 2560 2880 3072 3456 3840 4096 4320 4608 5120 5760 6144 6912 7680 8640 9216 10240 11520 12288 13824 15360 17280 18432 20480 23040 27648 30720 34560 36864 46080 55296 61440 69120 92160 110592 138240 184320 276480 552960

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