1259967360 has 128 divisors (see below), whose sum is σ = 4026886560. Its totient is φ = 335093760.

The previous prime is 1259967353. The next prime is 1259967367. The reversal of 1259967360 is 637699521.

It is an interprime number because it is at equal distance from previous prime (1259967353) and next prime (1259967367).

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1259967367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1038114 + ... + 1039326.

Almost surely, 2^1259967360 is an apocalyptic number.

1259967360 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 1259967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013443280).

1259967360 is an abundant number, since it is smaller than the sum of its proper divisors (2766919200).

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

1259967360 is a wasteful number, since it uses less digits than its factorization.

1259967360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 48.

The square root of 1259967360 is about 35496.0189317056. The cubic root of 1259967360 is about 1080.0729717498.

The spelling of 1259967360 in words is "one billion, two hundred fifty-nine million, nine hundred sixty-seven thousand, three hundred sixty".