1264892160 has 144 divisors (see below), whose sum is σ = 4616954496. Its totient is φ = 289112064.

The previous prime is 1264892137. The next prime is 1264892177. The reversal of 1264892160 is 612984621.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3352 + ... + 50408.

It is an arithmetic number, because the mean of its divisors is an integer number (32062184).

Almost surely, 2^1264892160 is an apocalyptic number.

1264892160 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 1264892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308477248).

1264892160 is an abundant number, since it is smaller than the sum of its proper divisors (3352062336).

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

1264892160 is an equidigital number, since it uses as much as digits as its factorization.

1264892160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47088 (or 47074 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 1264892160 is about 35565.3224363283. The cubic root of 1264892160 is about 1081.4783595099.

The spelling of 1264892160 in words is "one billion, two hundred sixty-four million, eight hundred ninety-two thousand, one hundred sixty".