1029116160 has 216 divisors, whose sum is σ = 3589611480. Its totient is φ = 272203776.

The previous prime is 1029116159. The next prime is 1029116161. The reversal of 1029116160 is 616119201.

1029116160 is a `hidden beast` number, since 10 + 29 + 11 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1029116159) and next prime (1029116161).

It can be written as a sum of positive squares in 4 ways, for example, as 1016064 + 1028100096 = 1008^2 + 32064^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029116161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1808356 + ... + 1808924.

Almost surely, 2^1029116160 is an apocalyptic number.

1029116160 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 1029116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794805740).

1029116160 is an abundant number, since it is smaller than the sum of its proper divisors (2560495320).

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

1029116160 is a wasteful number, since it uses less digits than its factorization.

1029116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 1029116160 is about 32079.8403986055. The cubic root of 1029116160 is about 1009.6126868357.

The spelling of 1029116160 in words is "one billion, twenty-nine million, one hundred sixteen thousand, one hundred sixty".