1206912960 has 672 divisors, whose sum is σ = 5032564992. Its totient is φ = 272056320.

The previous prime is 1206912901. The next prime is 1206912961. The reversal of 1206912960 is 692196021.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1206912961) 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, 14541079 + ... + 14541161.

It is an arithmetic number, because the mean of its divisors is an integer number (7488936).

Almost surely, 2^1206912960 is an apocalyptic number.

1206912960 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 1206912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516282496).

1206912960 is an abundant number, since it is smaller than the sum of its proper divisors (3825652032).

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

1206912960 is a wasteful number, since it uses less digits than its factorization.

1206912960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1206912960 is about 34740.6528436067. The cubic root of 1206912960 is about 1064.6952510312.

The spelling of 1206912960 in words is "one billion, two hundred six million, nine hundred twelve thousand, nine hundred sixty".