1201037760 has 672 divisors, whose sum is σ = 4978115520. Its totient is φ = 270729216.

The previous prime is 1201037753. The next prime is 1201037767. The reversal of 1201037760 is 677301021.

It is an interprime number because it is at equal distance from previous prime (1201037753) and next prime (1201037767).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201037767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32460462 + ... + 32460498.

It is an arithmetic number, because the mean of its divisors is an integer number (7407910).

Almost surely, 2^1201037760 is an apocalyptic number.

1201037760 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 1201037760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489057760).

1201037760 is an abundant number, since it is smaller than the sum of its proper divisors (3777077760).

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

1201037760 is a wasteful number, since it uses less digits than its factorization.

1201037760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 1201037760 is about 34655.9916897497. The cubic root of 1201037760 is about 1062.9648099641.

Adding to 1201037760 its reverse (677301021), we get a palindrome (1878338781).

It can be divided in two parts, 12010 and 37760, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 1201037760 in words is "one billion, two hundred one million, thirty-seven thousand, seven hundred sixty".