1062961000 has 48 divisors (see below), whose sum is σ = 2489743620. Its totient is φ = 424772000.

The previous prime is 1062960973. The next prime is 1062961007. The reversal of 1062961000 is 1692601.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 718561636 + 344399364 = 26806^2 + 18558^2 .

It is a super-2 number, since 2×1062961000² = 2259772175042000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1062961007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1030485 + ... + 1031515.

Almost surely, 2^1062961000 is an apocalyptic number.

1062961000 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 1062961000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244871810).

1062961000 is an abundant number, since it is smaller than the sum of its proper divisors (1426782620).

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

1062961000 is an frugal number, since it uses more digits than its factorization.

1062961000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 1062961000 is about 32603.0826763360. The cubic root of 1062961000 is about 1020.5613339837.

The spelling of 1062961000 in words is "one billion, sixty-two million, nine hundred sixty-one thousand".