1268400 has 120 divisors (see below), whose sum is σ = 4674304. Its totient is φ = 288000.

The previous prime is 1268369. The next prime is 1268413. The reversal of 1268400 is 48621.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8325 + ... + 8475.

2^1268400 is an apocalyptic number.

1268400 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 1268400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337152).

1268400 is an abundant number, since it is smaller than the sum of its proper divisors (3405904).

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

1268400 is a wasteful number, since it uses less digits than its factorization.

1268400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1268400 is about 1126.2326580241. The cubic root of 1268400 is about 108.2477167068.

The spelling of 1268400 in words is "one million, two hundred sixty-eight thousand, four hundred".