1258748064 has 216 divisors, whose sum is σ = 4194747648. Its totient is φ = 356993280.

The previous prime is 1258748063. The next prime is 1258748089. The reversal of 1258748064 is 4608478521.

1258748064 is a `hidden beast` number, since 1 + 2 + 587 + 4 + 8 + 0 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1258748063) 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 35 ways as a sum of consecutive naturals, for example, 2695159 + ... + 2695625.

It is an arithmetic number, because the mean of its divisors is an integer number (19420128).

Almost surely, 2^1258748064 is an apocalyptic number.

1258748064 is a gapful number since it is divisible by the number (14) 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 1258748064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097373824).

1258748064 is an abundant number, since it is smaller than the sum of its proper divisors (2935999584).

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

1258748064 is a wasteful number, since it uses less digits than its factorization.

1258748064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 1258748064 is about 35478.8396653555. The cubic root of 1258748064 is about 1079.7244564547.

The spelling of 1258748064 in words is "one billion, two hundred fifty-eight million, seven hundred forty-eight thousand, sixty-four".