1240800 has 144 divisors (see below), whose sum is σ = 4499712. Its totient is φ = 294400.

The previous prime is 1240793. The next prime is 1240807. The reversal of 1240800 is 80421.

1240800 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (1240793) and next prime (1240807).

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 1240800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26377 + ... + 26423.

It is an arithmetic number, because the mean of its divisors is an integer number (31248).

2^1240800 is an apocalyptic number.

1240800 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 1240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249856).

1240800 is an abundant number, since it is smaller than the sum of its proper divisors (3258912).

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

1240800 is a wasteful number, since it uses less digits than its factorization.

1240800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1240800 is about 1113.9120252515. The cubic root of 1240800 is about 107.4568061551.

The spelling of 1240800 in words is "one million, two hundred forty thousand, eight hundred".