1020763296 has 504 divisors, whose sum is σ = 3767964480. Its totient is φ = 270418176.

The previous prime is 1020763259. The next prime is 1020763313. The reversal of 1020763296 is 6923670201.

1020763296 is a `hidden beast` number, since 10 + 2 + 0 + 7 + 632 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1020763296.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 21718345 + ... + 21718391.

It is an arithmetic number, because the mean of its divisors is an integer number (7476120).

Almost surely, 2^1020763296 is an apocalyptic number.

1020763296 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 1020763296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883982240).

1020763296 is an abundant number, since it is smaller than the sum of its proper divisors (2747201184).

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

1020763296 is an equidigital number, since it uses as much as digits as its factorization.

1020763296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1020763296 is about 31949.3864729825. The cubic root of 1020763296 is about 1006.8737420789.

The spelling of 1020763296 in words is "one billion, twenty million, seven hundred sixty-three thousand, two hundred ninety-six".