1262400 has 84 divisors (see below), whose sum is σ = 4157472. Its totient is φ = 335360.

The previous prime is 1262377. The next prime is 1262411. The reversal of 1262400 is 42621.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1262400.

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 11 ways as a sum of consecutive naturals, for example, 4669 + ... + 4931.

2^1262400 is an apocalyptic number.

1262400 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 1262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078736).

1262400 is an abundant number, since it is smaller than the sum of its proper divisors (2895072).

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

1262400 is a wasteful number, since it uses less digits than its factorization.

1262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1262400 is about 1123.5657524151. The cubic root of 1262400 is about 108.0767629847.

The spelling of 1262400 in words is "one million, two hundred sixty-two thousand, four hundred".