1012618080 has 144 divisors (see below), whose sum is σ = 3479190624. Its totient is φ = 268185600.

The previous prime is 1012618001. The next prime is 1012618111. The reversal of 1012618080 is 808162101.

1012618080 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 (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215112 + ... + 219768.

It is an arithmetic number, because the mean of its divisors is an integer number (24161046).

Almost surely, 2^1012618080 is an apocalyptic number.

1012618080 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 1012618080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739595312).

1012618080 is an abundant number, since it is smaller than the sum of its proper divisors (2466572544).

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

1012618080 is a wasteful number, since it uses less digits than its factorization.

1012618080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4829 (or 4818 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 1012618080 is about 31821.6605474950. The cubic root of 1012618080 is about 1004.1884589850.

The spelling of 1012618080 in words is "one billion, twelve million, six hundred eighteen thousand, eighty".