1256542320 has 160 divisors (see below), whose sum is σ = 4291582464. Its totient is φ = 301593600.

The previous prime is 1256542297. The next prime is 1256542327. The reversal of 1256542320 is 232456521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1256542327) 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 31 ways as a sum of consecutive naturals, for example, 269610 + ... + 274230.

Almost surely, 2^1256542320 is an apocalyptic number.

1256542320 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 1256542320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145791232).

1256542320 is an abundant number, since it is smaller than the sum of its proper divisors (3035040144).

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

1256542320 is a wasteful number, since it uses less digits than its factorization.

1256542320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4751 (or 4745 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 1256542320 is about 35447.7406896406. The cubic root of 1256542320 is about 1079.0934092842.

Adding to 1256542320 its reverse (232456521), we get a palindrome (1488998841).

The spelling of 1256542320 in words is "one billion, two hundred fifty-six million, five hundred forty-two thousand, three hundred twenty".