1259272320 has 128 divisors (see below), whose sum is σ = 4024218240. Its totient is φ = 334946304.

The previous prime is 1259272279. The next prime is 1259272321. The reversal of 1259272320 is 232729521.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1259272321) 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, 1184109 + ... + 1185171.

It is an arithmetic number, because the mean of its divisors is an integer number (31439205).

Almost surely, 2^1259272320 is an apocalyptic number.

1259272320 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 1259272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012109120).

1259272320 is an abundant number, since it is smaller than the sum of its proper divisors (2764945920).

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

1259272320 is a wasteful number, since it uses less digits than its factorization.

1259272320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 1259272320 is about 35486.2271874596. The cubic root of 1259272320 is about 1079.8743338008.

The spelling of 1259272320 in words is "one billion, two hundred fifty-nine million, two hundred seventy-two thousand, three hundred twenty".