1020351360 has 384 divisors, whose sum is σ = 3889382400. Its totient is φ = 222842880.

The previous prime is 1020351349. The next prime is 1020351419. The reversal of 1020351360 is 631530201.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1020351360² = 2082233795707699200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12915801 + ... + 12915879.

It is an arithmetic number, because the mean of its divisors is an integer number (10128600).

Almost surely, 2^1020351360 is an apocalyptic number.

1020351360 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 1020351360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944691200).

1020351360 is an abundant number, since it is smaller than the sum of its proper divisors (2869031040).

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

1020351360 is an equidigital number, since it uses as much as digits as its factorization.

1020351360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 1020351360 is about 31942.9391258851. The cubic root of 1020351360 is about 1006.7382802632.

Adding to 1020351360 its reverse (631530201), we get a palindrome (1651881561).

It can be divided in two parts, 1020 and 351360, that added together give a triangular number (352380 = T₈₃₉).

The spelling of 1020351360 in words is "one billion, twenty million, three hundred fifty-one thousand, three hundred sixty".