1206400 has 96 divisors (see below), whose sum is σ = 3320100. Its totient is φ = 430080.

The previous prime is 1206391. The next prime is 1206407. The reversal of 1206400 is 46021.

It can be written as a sum of positive squares in 6 ways, for example, as 238144 + 968256 = 488^2 + 984^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (1206407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41586 + ... + 41614.

2^1206400 is an apocalyptic number.

1206400 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 1206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660050).

1206400 is an abundant number, since it is smaller than the sum of its proper divisors (2113700).

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

1206400 is a wasteful number, since it uses less digits than its factorization.

1206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1206400 is about 1098.3624174197. The cubic root of 1206400 is about 106.4544391362.

The spelling of 1206400 in words is "one million, two hundred six thousand, four hundred".