1406256768 has 128 divisors (see below), whose sum is σ = 4743408000. Its totient is φ = 401780736.

The previous prime is 1406256767. The next prime is 1406256773. The reversal of 1406256768 is 8676526041.

1406256768 is a `hidden beast` number, since 14 + 0 + 625 + 6 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1406256763) 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 15 ways as a sum of consecutive naturals, for example, 4873 + ... + 53256.

It is an arithmetic number, because the mean of its divisors is an integer number (37057875).

Almost surely, 2^1406256768 is an apocalyptic number.

1406256768 is a gapful number since it is divisible by the number (18) 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 1406256768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371704000).

1406256768 is an abundant number, since it is smaller than the sum of its proper divisors (3337151232).

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

1406256768 is an equidigital number, since it uses as much as digits as its factorization.

1406256768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58159 (or 58141 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1406256768 is about 37500.0902398914. The cubic root of 1406256768 is about 1120.3529839785.

The spelling of 1406256768 in words is "one billion, four hundred six million, two hundred fifty-six thousand, seven hundred sixty-eight".