1258617360 has 640 divisors, whose sum is σ = 5439651840. Its totient is φ = 233625600.

The previous prime is 1258617359. The next prime is 1258617379. The reversal of 1258617360 is 637168521.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40600545 + ... + 40600575.

It is an arithmetic number, because the mean of its divisors is an integer number (8499456).

Almost surely, 2^1258617360 is an apocalyptic number.

1258617360 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 1258617360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719825920).

1258617360 is an abundant number, since it is smaller than the sum of its proper divisors (4181034480).

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

1258617360 is a wasteful number, since it uses less digits than its factorization.

1258617360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1258617360 is about 35476.9976181751. The cubic root of 1258617360 is about 1079.6870835564.

The spelling of 1258617360 in words is "one billion, two hundred fifty-eight million, six hundred seventeen thousand, three hundred sixty".