1029261312 has 144 divisors (see below), whose sum is σ = 3130218000. Its totient is φ = 324919296.

The previous prime is 1029261307. The next prime is 1029261323. The reversal of 1029261312 is 2131629201.

1029261312 is a `hidden beast` number, since 1 + 0 + 292 + 61 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1029261312² = 2118757696759922688, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 348739 + ... + 351677.

It is an arithmetic number, because the mean of its divisors is an integer number (21737625).

Almost surely, 2^1029261312 is an apocalyptic number.

1029261312 is a gapful number since it is divisible by the number (12) 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 1029261312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565109000).

1029261312 is an abundant number, since it is smaller than the sum of its proper divisors (2100956688).

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

1029261312 is a wasteful number, since it uses less digits than its factorization.

1029261312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1029261312 is about 32082.1026742326. The cubic root of 1029261312 is about 1009.6601516465.

The spelling of 1029261312 in words is "one billion, twenty-nine million, two hundred sixty-one thousand, three hundred twelve".