1257004160 has 64 divisors (see below), whose sum is σ = 3022661880. Its totient is φ = 499851264.

The previous prime is 1257004061. The next prime is 1257004163. The reversal of 1257004160 is 614007521.

It can be written as a sum of positive squares in 4 ways, for example, as 1116629056 + 140375104 = 33416^2 + 11848^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1257004163) 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 7 ways as a sum of consecutive naturals, for example, 105044 + ... + 116396.

Almost surely, 2^1257004160 is an apocalyptic number.

1257004160 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 1257004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511330940).

1257004160 is an abundant number, since it is smaller than the sum of its proper divisors (1765657720).

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

1257004160 is a wasteful number, since it uses less digits than its factorization.

1257004160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11545 (or 11533 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 1257004160 is about 35454.2544696684. The cubic root of 1257004160 is about 1079.2255994080.

The spelling of 1257004160 in words is "one billion, two hundred fifty-seven million, four thousand, one hundred sixty".