1013878944 has 120 divisors (see below), whose sum is σ = 3211264980. Its totient is φ = 311952384.

The previous prime is 1013878937. The next prime is 1013878961. The reversal of 1013878944 is 4498783101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 974188944 + 39690000 = 31212^2 + 6300^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1013878944.

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 19 ways as a sum of consecutive naturals, for example, 18652 + ... + 48740.

Almost surely, 2^1013878944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013878944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605632490).

1013878944 is an abundant number, since it is smaller than the sum of its proper divisors (2197386036).

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

1013878944 is a wasteful number, since it uses less digits than its factorization.

1013878944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30124 (or 30107 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1013878944 is about 31841.4657954058. The cubic root of 1013878944 is about 1004.6050753944.

The spelling of 1013878944 in words is "one billion, thirteen million, eight hundred seventy-eight thousand, nine hundred forty-four".