1013927040 has 192 divisors, whose sum is σ = 4001549760. Its totient is φ = 231745536.

The previous prime is 1013927027. The next prime is 1013927081. The reversal of 1013927040 is 407293101.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 1013926995 and 1013927013.

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, 27747 + ... + 52893.

It is an arithmetic number, because the mean of its divisors is an integer number (20841405).

Almost surely, 2^1013927040 is an apocalyptic number.

1013927040 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 1013927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000774880).

1013927040 is an abundant number, since it is smaller than the sum of its proper divisors (2987622720).

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

1013927040 is a wasteful number, since it uses less digits than its factorization.

1013927040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25179 (or 25164 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1013927040 is about 31842.2210280627. The cubic root of 1013927040 is about 1004.6209604998.

The spelling of 1013927040 in words is "one billion, thirteen million, nine hundred twenty-seven thousand, forty".