1020856320 has 576 divisors, whose sum is σ = 4139553600. Its totient is φ = 230031360.

The previous prime is 1020856297. The next prime is 1020856327. The reversal of 1020856320 is 236580201.

1020856320 is a `hidden beast` number, since 1 + 0 + 20 + 8 + 5 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020856327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19261414 + ... + 19261466.

It is an arithmetic number, because the mean of its divisors is an integer number (7186725).

Almost surely, 2^1020856320 is an apocalyptic number.

1020856320 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 1020856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2069776800).

1020856320 is an abundant number, since it is smaller than the sum of its proper divisors (3118697280).

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

1020856320 is a wasteful number, since it uses less digits than its factorization.

1020856320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1020856320 is about 31950.8422424198. The cubic root of 1020856320 is about 1006.9043272231.

The spelling of 1020856320 in words is "one billion, twenty million, eight hundred fifty-six thousand, three hundred twenty".