1284172864 has 56 divisors (see below), whose sum is σ = 2760842840. Its totient is φ = 592630272.

The previous prime is 1284172829. The next prime is 1284172873. The reversal of 1284172864 is 4682714821.

It can be written as a sum of positive squares in 4 ways, for example, as 218803264 + 1065369600 = 14792^2 + 32640^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1284172864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136042 + ... + 145174.

It is an arithmetic number, because the mean of its divisors is an integer number (49300765).

Almost surely, 2^1284172864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1284172864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380421420).

1284172864 is an abundant number, since it is smaller than the sum of its proper divisors (1476669976).

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

1284172864 is an frugal number, since it uses more digits than its factorization.

1284172864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9184 (or 9148 counting only the distinct ones).

The product of its digits is 172032, while the sum is 43.

The square root of 1284172864 is about 35835.3577350638. The cubic root of 1284172864 is about 1086.9456517472.

The spelling of 1284172864 in words is "one billion, two hundred eighty-four million, one hundred seventy-two thousand, eight hundred sixty-four".