1077936160 has 96 divisors (see below), whose sum is σ = 2918643840. Its totient is φ = 368535552.

The previous prime is 1077936157. The next prime is 1077936161. The reversal of 1077936160 is 616397701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1077936161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468132 + ... + 470428.

It is an arithmetic number, because the mean of its divisors is an integer number (30402540).

Almost surely, 2^1077936160 is an apocalyptic number.

1077936160 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 1077936160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459321920).

1077936160 is an abundant number, since it is smaller than the sum of its proper divisors (1840707680).

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

1077936160 is a wasteful number, since it uses less digits than its factorization.

1077936160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 40.

The square root of 1077936160 is about 32831.9381091035. The cubic root of 1077936160 is about 1025.3316111262.

The spelling of 1077936160 in words is "one billion, seventy-seven million, nine hundred thirty-six thousand, one hundred sixty".