1207133856 has 72 divisors (see below), whose sum is σ = 3447711540. Its totient is φ = 400628736.

The previous prime is 1207133813. The next prime is 1207133867. The reversal of 1207133856 is 6583317021.

1207133856 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1206867600 + 266256 = 34740^2 + 516^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1207133856.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58110 + ... + 76098.

Almost surely, 2^1207133856 is an apocalyptic number.

1207133856 is a gapful number since it is divisible by the number (16) 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 1207133856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723855770).

1207133856 is an abundant number, since it is smaller than the sum of its proper divisors (2240577684).

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

1207133856 is a wasteful number, since it uses less digits than its factorization.

1207133856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18238 (or 18227 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1207133856 is about 34743.8319130173. The cubic root of 1207133856 is about 1064.7602025737.

The spelling of 1207133856 in words is "one billion, two hundred seven million, one hundred thirty-three thousand, eight hundred fifty-six".