1020730656 has 96 divisors (see below), whose sum is σ = 2935408896. Its totient is φ = 308000000.

The previous prime is 1020730651. The next prime is 1020730679. The reversal of 1020730656 is 6560370201.

1020730656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (1020730651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263131 + ... + 266981.

It is an arithmetic number, because the mean of its divisors is an integer number (30577176).

Almost surely, 2^1020730656 is an apocalyptic number.

1020730656 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 1020730656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467704448).

1020730656 is an abundant number, since it is smaller than the sum of its proper divisors (1914678240).

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

1020730656 is a wasteful number, since it uses less digits than its factorization.

1020730656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4126 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 1020730656 is about 31948.8756609681. The cubic root of 1020730656 is about 1006.8630100090.

The spelling of 1020730656 in words is "one billion, twenty million, seven hundred thirty thousand, six hundred fifty-six".