1258864640 has 180 divisors, whose sum is σ = 3346952448. Its totient is φ = 454164480.

The previous prime is 1258864631. The next prime is 1258864657. The reversal of 1258864640 is 464688521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 1258864591 and 1258864600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9912257 + ... + 9912383.

Almost surely, 2^1258864640 is an apocalyptic number.

1258864640 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 1258864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673476224).

1258864640 is an abundant number, since it is smaller than the sum of its proper divisors (2088087808).

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

1258864640 is an equidigital number, since it uses as much as digits as its factorization.

1258864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The square root of 1258864640 is about 35480.4825220853. The cubic root of 1258864640 is about 1079.7577874753.

The spelling of 1258864640 in words is "one billion, two hundred fifty-eight million, eight hundred sixty-four thousand, six hundred forty".