1029160960 has 120 divisors (see below), whose sum is σ = 2618738640. Its totient is φ = 386924544.

The previous prime is 1029160949. The next prime is 1029160999. The reversal of 1029160960 is 690619201.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1392271 + ... + 1393009.

It is an arithmetic number, because the mean of its divisors is an integer number (21822822).

Almost surely, 2^1029160960 is an apocalyptic number.

1029160960 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 1029160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309369320).

1029160960 is an abundant number, since it is smaller than the sum of its proper divisors (1589577680).

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

1029160960 is an frugal number, since it uses more digits than its factorization.

1029160960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The square root of 1029160960 is about 32080.5386488444. The cubic root of 1029160960 is about 1009.6273369448.

The spelling of 1029160960 in words is "one billion, twenty-nine million, one hundred sixty thousand, nine hundred sixty".