1086368 has 24 divisors (see below), whose sum is σ = 2265732. Its totient is φ = 510976.

The previous prime is 1086361. The next prime is 1086373. The reversal of 1086368 is 8636801.

It can be written as a sum of positive squares in 2 ways, for example, as 1056784 + 29584 = 1028^2 + 172^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1086361) by changing a digit.

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, 455 + ... + 1542.

2^1086368 is an apocalyptic number.

It is an amenable number.

1086368 is an abundant number, since it is smaller than the sum of its proper divisors (1179364).

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

1086368 is a wasteful number, since it uses less digits than its factorization.

1086368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 1086368 is about 1042.2897869595. The cubic root of 1086368 is about 102.7998122603.

The spelling of 1086368 in words is "one million, eighty-six thousand, three hundred sixty-eight".