1020314880 has 360 divisors, whose sum is σ = 3936903432. Its totient is φ = 250822656.

The previous prime is 1020314843. The next prime is 1020314887. The reversal of 1020314880 is 884130201.

It can be written as a sum of positive squares in 4 ways, for example, as 34857216 + 985457664 = 5904^2 + 31392^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020314887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1347462 + ... + 1348218.

Almost surely, 2^1020314880 is an apocalyptic number.

1020314880 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 1020314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968451716).

1020314880 is an abundant number, since it is smaller than the sum of its proper divisors (2916588552).

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

1020314880 is an equidigital number, since it uses as much as digits as its factorization.

1020314880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1020314880 is about 31942.3681025687. The cubic root of 1020314880 is about 1006.7262823536.

The spelling of 1020314880 in words is "one billion, twenty million, three hundred fourteen thousand, eight hundred eighty".