1000960000 has 260 divisors, whose sum is σ = 2763577872. Its totient is φ = 360448000.

The previous prime is 1000959979. The next prime is 1000960039. The reversal of 1000960000 is 690001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43519989 + ... + 43520011.

Almost surely, 2^1000960000 is an apocalyptic number.

1000960000 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 1000960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381788936).

1000960000 is an abundant number, since it is smaller than the sum of its proper divisors (1762617872).

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

1000960000 is an frugal number, since it uses more digits than its factorization.

1000960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1000960000 is about 31637.9518932563. The cubic root of 1000960000 is about 1000.3198976546.

The spelling of 1000960000 in words is "one billion, nine hundred sixty thousand".