1241600 has 60 divisors (see below), whose sum is σ = 3107874. Its totient is φ = 491520.

The previous prime is 1241587. The next prime is 1241627. The reversal of 1241600 is 61421.

It can be written as a sum of positive squares in 3 ways, for example, as 891136 + 350464 = 944^2 + 592^2 .

It is a plaindrome in base 14.

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 5 ways as a sum of consecutive naturals, for example, 12752 + ... + 12848.

2^1241600 is an apocalyptic number.

1241600 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 1241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553937).

1241600 is an abundant number, since it is smaller than the sum of its proper divisors (1866274).

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

1241600 is an frugal number, since it uses more digits than its factorization.

1241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1241600 is about 1114.2710621747. The cubic root of 1241600 is about 107.4798952848.

The spelling of 1241600 in words is "one million, two hundred forty-one thousand, six hundred".