1013663160 has 160 divisors (see below), whose sum is σ = 3471906240. Its totient is φ = 265165056.

The previous prime is 1013663159. The next prime is 1013663173. The reversal of 1013663160 is 613663101.

It is a happy number.

1013663160 is a `hidden beast` number, since 10 + 13 + 6 + 631 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 168769 + ... + 174671.

It is an arithmetic number, because the mean of its divisors is an integer number (21699414).

Almost surely, 2^1013663160 is an apocalyptic number.

1013663160 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 1013663160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735953120).

1013663160 is an abundant number, since it is smaller than the sum of its proper divisors (2458243080).

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

1013663160 is a wasteful number, since it uses less digits than its factorization.

1013663160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5979 (or 5966 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1013663160 is about 31838.0772032483. The cubic root of 1013663160 is about 1004.5338002573.

The spelling of 1013663160 in words is "one billion, thirteen million, six hundred sixty-three thousand, one hundred sixty".