1268000 has 48 divisors (see below), whose sum is σ = 3125304. Its totient is φ = 505600.

The previous prime is 1267999. The next prime is 1268011. The reversal of 1268000 is 8621.

It can be written as a sum of positive squares in 4 ways, for example, as 110224 + 1157776 = 332^2 + 1076^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1268000.

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, 3842 + ... + 4158.

2^1268000 is an apocalyptic number.

1268000 is a gapful number since it is divisible by the number (10) 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 1268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562652).

1268000 is an abundant number, since it is smaller than the sum of its proper divisors (1857304).

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

1268000 is an equidigital number, since it uses as much as digits as its factorization.

1268000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1268000 is about 1126.0550608207. The cubic root of 1268000 is about 108.2363365851.

The spelling of 1268000 in words is "one million, two hundred sixty-eight thousand".