1036838160 has 480 divisors, whose sum is σ = 4011171840. Its totient is φ = 238436352.

The previous prime is 1036838147. The next prime is 1036838191. The reversal of 1036838160 is 618386301.

1036838160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8164017 + ... + 8164143.

It is an arithmetic number, because the mean of its divisors is an integer number (8356608).

Almost surely, 2^1036838160 is an apocalyptic number.

1036838160 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 1036838160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005585920).

1036838160 is an abundant number, since it is smaller than the sum of its proper divisors (2974333680).

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

1036838160 is a wasteful number, since it uses less digits than its factorization.

1036838160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1036838160 is about 32199.9714285588. The cubic root of 1036838160 is about 1012.1316154129.

The spelling of 1036838160 in words is "one billion, thirty-six million, eight hundred thirty-eight thousand, one hundred sixty".