1000962000 has 120 divisors (see below), whose sum is σ = 3496089480. Its totient is φ = 266918400.

The previous prime is 1000961917. The next prime is 1000962071. The reversal of 1000962000 is 2690001.

It can be written as a sum of positive squares in 4 ways, for example, as 120297024 + 880664976 = 10968^2 + 29676^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9805 + ... + 45804.

It is an arithmetic number, because the mean of its divisors is an integer number (29134079).

Almost surely, 2^1000962000 is an apocalyptic number.

1000962000 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 1000962000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748044740).

1000962000 is an abundant number, since it is smaller than the sum of its proper divisors (2495127480).

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

1000962000 is a wasteful number, since it uses less digits than its factorization.

1000962000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55638 (or 55619 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1000962000 is about 31637.9835008491. The cubic root of 1000962000 is about 1000.3205638945.

The spelling of 1000962000 in words is "one billion, nine hundred sixty-two thousand".