1013842368 has 168 divisors, whose sum is σ = 3623218560. Its totient is φ = 263324160.

The previous prime is 1013842363. The next prime is 1013842393. The reversal of 1013842368 is 8632483101.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013842363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32923 + ... + 55781.

Almost surely, 2^1013842368 is an apocalyptic number.

1013842368 is a gapful number since it is divisible by the number (18) 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 1013842368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811609280).

1013842368 is an abundant number, since it is smaller than the sum of its proper divisors (2609376192).

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

1013842368 is a wasteful number, since it uses less digits than its factorization.

1013842368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22895 (or 22882 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1013842368 is about 31840.8914448073. The cubic root of 1013842368 is about 1004.5929947684.

The spelling of 1013842368 in words is "one billion, thirteen million, eight hundred forty-two thousand, three hundred sixty-eight".