1026368 has 56 divisors (see below), whose sum is σ = 2438400. Its totient is φ = 419328.

The previous prime is 1026359. The next prime is 1026371. The reversal of 1026368 is 8636201.

1026368 = 32³ + 33³ + ... + 47³.

It is a tau number, because it is divible by the number of its divisors (56).

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

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, 12953 + ... + 13031.

2^1026368 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 1026368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219200).

1026368 is an abundant number, since it is smaller than the sum of its proper divisors (1412032).

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

1026368 is an equidigital number, since it uses as much as digits as its factorization.

1026368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 1026368 is about 1013.0982183382. The cubic root of 1026368 is about 100.8713193098.

The spelling of 1026368 in words is "one million, twenty-six thousand, three hundred sixty-eight".