1029276864 has 336 divisors, whose sum is σ = 3841943040. Its totient is φ = 255467520.

The previous prime is 1029276839. The next prime is 1029276929. The reversal of 1029276864 is 4686729201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1019592 + ... + 1020600.

Almost surely, 2^1029276864 is an apocalyptic number.

1029276864 is a gapful number since it is divisible by the number (14) 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 1029276864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920971520).

1029276864 is an abundant number, since it is smaller than the sum of its proper divisors (2812666176).

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

1029276864 is a wasteful number, since it uses less digits than its factorization.

1029276864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1029276864 is about 32082.3450514454. The cubic root of 1029276864 is about 1009.6652368972.

The spelling of 1029276864 in words is "one billion, twenty-nine million, two hundred seventy-six thousand, eight hundred sixty-four".