1236800 has 42 divisors (see below), whose sum is σ = 3047238. Its totient is φ = 494080.

The previous prime is 1236797. The next prime is 1236803. The reversal of 1236800 is 86321.

It is an interprime number because it is at equal distance from previous prime (1236797) and next prime (1236803).

It can be written as a sum of positive squares in 3 ways, for example, as 256 + 1236544 = 16^2 + 1112^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1236803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1214 + ... + 1986.

2^1236800 is an apocalyptic number.

1236800 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 1236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523619).

1236800 is an abundant number, since it is smaller than the sum of its proper divisors (1810438).

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

1236800 is an equidigital number, since it uses as much as digits as its factorization.

1236800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1236800 is about 1112.1151019566. The cubic root of 1236800 is about 107.3412113949.

The spelling of 1236800 in words is "one million, two hundred thirty-six thousand, eight hundred".