1075368 has 64 divisors (see below), whose sum is σ = 3173760. Its totient is φ = 297216.

The previous prime is 1075357. The next prime is 1075391. The reversal of 1075368 is 8635701.

1075368 = 37² + 38² + ... + 148².

It is a Cunningham number, because it is equal to 1037²-1.

It is a congruent number.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 6130 + ... + 6302.

It is an arithmetic number, because the mean of its divisors is an integer number (49590).

2^1075368 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 1075368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586880).

1075368 is an abundant number, since it is smaller than the sum of its proper divisors (2098392).

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

1075368 is a wasteful number, since it uses less digits than its factorization.

1075368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1075368 is about 1036.9995178398. Note that the first 3 decimals coincide. The cubic root of 1075368 is about 102.4516686676.

The spelling of 1075368 in words is "one million, seventy-five thousand, three hundred sixty-eight".