1791264960 has 168 divisors, whose sum is σ = 6239987520. Its totient is φ = 471564288.

The previous prime is 1791264913. The next prime is 1791264961. The reversal of 1791264960 is 694621971.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1791264961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223584 + ... + 231456.

Almost surely, 2^1791264960 is an apocalyptic number.

1791264960 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 1791264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119993760).

1791264960 is an abundant number, since it is smaller than the sum of its proper divisors (4448722560).

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

1791264960 is a wasteful number, since it uses less digits than its factorization.

1791264960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7975 (or 7962 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1791264960 is about 42323.3382426292. The cubic root of 1791264960 is about 1214.4694935418.

The spelling of 1791264960 in words is "one billion, seven hundred ninety-one million, two hundred sixty-four thousand, nine hundred sixty".