1256726016 has 560 divisors, whose sum is σ = 4758799584. Its totient is φ = 322486272.

The previous prime is 1256725999. The next prime is 1256726017. The reversal of 1256726016 is 6106276521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1256726017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 33965550 + ... + 33965586.

Almost surely, 2^1256726016 is an apocalyptic number.

1256726016 is a gapful number since it is divisible by the number (16) 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 1256726016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379399792).

1256726016 is an abundant number, since it is smaller than the sum of its proper divisors (3502073568).

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

1256726016 is an frugal number, since it uses more digits than its factorization.

1256726016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1256726016 is about 35450.3316768687. The cubic root of 1256726016 is about 1079.1459915387.

It can be divided in two parts, 12567 and 26016, that added together give a palindrome (38583).

The spelling of 1256726016 in words is "one billion, two hundred fifty-six million, seven hundred twenty-six thousand, sixteen".