1206965760 has 640 divisors, whose sum is σ = 5213666304. Its totient is φ = 230031360.

The previous prime is 1206965699. The next prime is 1206965777. The reversal of 1206965760 is 675696021.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7687602 + ... + 7687758.

Almost surely, 2^1206965760 is an apocalyptic number.

1206965760 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 1206965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606833152).

1206965760 is an abundant number, since it is smaller than the sum of its proper divisors (4006700544).

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

1206965760 is a wasteful number, since it uses less digits than its factorization.

1206965760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 1206965760 is about 34741.4127519305. The cubic root of 1206965760 is about 1064.7107768924.

The spelling of 1206965760 in words is "one billion, two hundred six million, nine hundred sixty-five thousand, seven hundred sixty".