1201603840 has 72 divisors (see below), whose sum is σ = 2889459720. Its totient is φ = 478765056.

The previous prime is 1201603831. The next prime is 1201603849. The reversal of 1201603840 is 483061021.

It is an interprime number because it is at equal distance from previous prime (1201603831) and next prime (1201603849).

It can be written as a sum of positive squares in 4 ways, for example, as 227165184 + 974438656 = 15072^2 + 31216^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201603849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 352866 + ... + 356254.

It is an arithmetic number, because the mean of its divisors is an integer number (40131385).

Almost surely, 2^1201603840 is an apocalyptic number.

1201603840 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 1201603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444729860).

1201603840 is an abundant number, since it is smaller than the sum of its proper divisors (1687855880).

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

1201603840 is an equidigital number, since it uses as much as digits as its factorization.

1201603840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3687 (or 3673 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 1201603840 is about 34664.1578579374. The cubic root of 1201603840 is about 1063.1317846223.

Adding to 1201603840 its reverse (483061021), we get a palindrome (1684664861).

The spelling of 1201603840 in words is "one billion, two hundred one million, six hundred three thousand, eight hundred forty".