1284111360 has 352 divisors, whose sum is σ = 5219358720. Its totient is φ = 293289984.

The previous prime is 1284111359. The next prime is 1284111397. The reversal of 1284111360 is 631114821.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 967017 + ... + 968343.

Almost surely, 2^1284111360 is an apocalyptic number.

1284111360 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 1284111360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609679360).

1284111360 is an abundant number, since it is smaller than the sum of its proper divisors (3935247360).

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

1284111360 is a wasteful number, since it uses less digits than its factorization.

1284111360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1284111360 is about 35834.4995779207. The cubic root of 1284111360 is about 1086.9282987946.

The spelling of 1284111360 in words is "one billion, two hundred eighty-four million, one hundred eleven thousand, three hundred sixty".