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8168160 = 25357111317

8168160 has 384 divisors, whose sum is σ = 36578304. Its totient is φ = 1474560.

The previous prime is 8168117. The next prime is 8168161. The reversal of 8168160 is 618618.

8168160 divided by its sum of digits (30) gives a palindrome (272272).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 442 × 42 × 440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8168161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 480472 + ... + 480488.

It is an arithmetic number, because the mean of its divisors is an integer number (95256).

Almost surely, 28168160 is an apocalyptic number.

8168160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8168160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18289152).

8168160 is an abundant number, since it is smaller than the sum of its proper divisors (28410144).

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

8168160 is a wasteful number, since it uses less digits than its factorization.

8168160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 8168160 is about 2857.9993002099. Note that the first 3 decimals coincide. The cubic root of 8168160 is about 201.3916277357.

The spelling of 8168160 in words is "eight million, one hundred sixty-eight thousand, one hundred sixty".