1036275120 has 400 divisors, whose sum is σ = 3986262720. Its totient is φ = 248168448.

The previous prime is 1036275113. The next prime is 1036275157. The reversal of 1036275120 is 215726301.

It is a happy number.

1036275120 is a `hidden beast` number, since 10 + 3 + 627 + 5 + 1 + 20 = 666.

1036275120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1036275120³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2533476 + ... + 2533884.

Almost surely, 2^1036275120 is an apocalyptic number.

1036275120 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 1036275120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1993131360).

1036275120 is an abundant number, since it is smaller than the sum of its proper divisors (2949987600).

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

1036275120 is a wasteful number, since it uses less digits than its factorization.

1036275120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1036275120 is about 32191.2273764142. The cubic root of 1036275120 is about 1011.9483744176.

The spelling of 1036275120 in words is "one billion, thirty-six million, two hundred seventy-five thousand, one hundred twenty".