1020332256 has 96 divisors (see below), whose sum is σ = 2847882240. Its totient is φ = 319148544.

The previous prime is 1020332237. The next prime is 1020332329. The reversal of 1020332256 is 6522330201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112665 + ... + 121383.

It is an arithmetic number, because the mean of its divisors is an integer number (29665440).

Almost surely, 2^1020332256 is an apocalyptic number.

1020332256 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 1020332256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423941120).

1020332256 is an abundant number, since it is smaller than the sum of its proper divisors (1827549984).

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

1020332256 is a wasteful number, since it uses less digits than its factorization.

1020332256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8808 (or 8800 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 1020332256 is about 31942.6400912636. The cubic root of 1020332256 is about 1006.7319971830.

Adding to 1020332256 its reverse (6522330201), we get a palindrome (7542662457).

The spelling of 1020332256 in words is "one billion, twenty million, three hundred thirty-two thousand, two hundred fifty-six".