1264284160 has 160 divisors (see below), whose sum is σ = 3181939200. Its totient is φ = 481198080.

The previous prime is 1264284157. The next prime is 1264284167. The reversal of 1264284160 is 614824621.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (1264284167) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7062951 + ... + 7063129.

It is an arithmetic number, because the mean of its divisors is an integer number (19887120).

Almost surely, 2^1264284160 is an apocalyptic number.

1264284160 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 1264284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590969600).

1264284160 is an abundant number, since it is smaller than the sum of its proper divisors (1917655040).

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

1264284160 is an equidigital number, since it uses as much as digits as its factorization.

1264284160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 1264284160 is about 35556.7737569088. The cubic root of 1264284160 is about 1081.3050524499.

The spelling of 1264284160 in words is "one billion, two hundred sixty-four million, two hundred eighty-four thousand, one hundred sixty".