1014256720 has 80 divisors (see below), whose sum is σ = 2534355648. Its totient is φ = 376104960.

The previous prime is 1014256717. The next prime is 1014256741. The reversal of 1014256720 is 276524101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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, 85555 + ... + 96685.

Almost surely, 2^1014256720 is an apocalyptic number.

1014256720 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 1014256720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267177824).

1014256720 is an abundant number, since it is smaller than the sum of its proper divisors (1520098928).

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

1014256720 is a wasteful number, since it uses less digits than its factorization.

1014256720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11228 (or 11222 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 1014256720 is about 31847.3973818898. The cubic root of 1014256720 is about 1004.7298334051.

The spelling of 1014256720 in words is "one billion, fourteen million, two hundred fifty-six thousand, seven hundred twenty".