1014086976 has 112 divisors (see below), whose sum is σ = 3105546240. Its totient is φ = 286041600.

The previous prime is 1014086971. The next prime is 1014086977. The reversal of 1014086976 is 6796804101.

1014086976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014086971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101401 + ... + 110951.

Almost surely, 2^1014086976 is an apocalyptic number.

1014086976 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 1014086976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552773120).

1014086976 is an abundant number, since it is smaller than the sum of its proper divisors (2091459264).

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

1014086976 is an equidigital number, since it uses as much as digits as its factorization.

1014086976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9652 (or 9642 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 1014086976 is about 31844.7323116399. The cubic root of 1014086976 is about 1004.6737804116.

The spelling of 1014086976 in words is "one billion, fourteen million, eighty-six thousand, nine hundred seventy-six".