1029000960 has 216 divisors, whose sum is σ = 3834658464. Its totient is φ = 253255680.

The previous prime is 1029000953. The next prime is 1029000967. The reversal of 1029000960 is 690009201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1029000953) and next prime (1029000967).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029000967) 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, 146325 + ... + 153195.

Almost surely, 2^1029000960 is an apocalyptic number.

1029000960 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 1029000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917329232).

1029000960 is an abundant number, since it is smaller than the sum of its proper divisors (2805657504).

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

1029000960 is a wasteful number, since it uses less digits than its factorization.

1029000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6911 (or 6894 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1029000960 is about 32078.0448281999. The cubic root of 1029000960 is about 1009.5750131742.

The spelling of 1029000960 in words is "one billion, twenty-nine million, nine hundred sixty", and thus it is an aban number.