1258536960 has 240 divisors, whose sum is σ = 4482525600. Its totient is φ = 335020032.

The previous prime is 1258536959. The next prime is 1258536971. The reversal of 1258536960 is 696358521.

1258536960 is a `hidden beast` number, since 1 + 2 + 58 + 536 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

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, 2211556 + ... + 2212124.

It is an arithmetic number, because the mean of its divisors is an integer number (18677190).

Almost surely, 2^1258536960 is an apocalyptic number.

1258536960 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 1258536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241262800).

1258536960 is an abundant number, since it is smaller than the sum of its proper divisors (3223988640).

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

1258536960 is an frugal number, since it uses more digits than its factorization.

1258536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 1258536960 is about 35475.8644714967. The cubic root of 1258536960 is about 1079.6640930663.

The spelling of 1258536960 in words is "one billion, two hundred fifty-eight million, five hundred thirty-six thousand, nine hundred sixty".