1259612160 has 192 divisors, whose sum is σ = 4073509440. Its totient is φ = 332267520.

The previous prime is 1259612141. The next prime is 1259612183. The reversal of 1259612160 is 612169521.

It is a tau number, because it is divible by the number of its divisors (192).

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, 4024164 + ... + 4024476.

It is an arithmetic number, because the mean of its divisors is an integer number (21216195).

Almost surely, 2^1259612160 is an apocalyptic number.

1259612160 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 1259612160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036754720).

1259612160 is an abundant number, since it is smaller than the sum of its proper divisors (2813897280).

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

1259612160 is a wasteful number, since it uses less digits than its factorization.

1259612160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 1259612160 is about 35491.0152010336. The cubic root of 1259612160 is about 1079.9714670102.

The spelling of 1259612160 in words is "one billion, two hundred fifty-nine million, six hundred twelve thousand, one hundred sixty".