1032001056 has 72 divisors (see below), whose sum is σ = 2941549884. Its totient is φ = 343203840.

The previous prime is 1032001039. The next prime is 1032001057. The reversal of 1032001056 is 6501002301.

It can be written as a sum of positive squares in 2 ways, for example, as 1015059600 + 16941456 = 31860^2 + 4116^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032001057) 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, 127696 + ... + 135536.

Almost surely, 2^1032001056 is an apocalyptic number.

1032001056 is a gapful number since it is divisible by the number (16) 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 1032001056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470774942).

1032001056 is an abundant number, since it is smaller than the sum of its proper divisors (1909548828).

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

1032001056 is a wasteful number, since it uses less digits than its factorization.

1032001056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8314 (or 8303 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1032001056 is about 32124.7732443359. The cubic root of 1032001056 is about 1010.5552141270. Note that the first 3 decimals are identical.

Adding to 1032001056 its reverse (6501002301), we get a palindrome (7533003357).

The spelling of 1032001056 in words is "one billion, thirty-two million, one thousand, fifty-six".