1013368320 has 320 divisors, whose sum is σ = 3664140480. Its totient is φ = 268738560.

The previous prime is 1013368277. The next prime is 1013368361. The reversal of 1013368320 is 238633101.

It is a happy number.

1013368320 is a `hidden beast` number, since 1 + 0 + 1 + 336 + 8 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 5598630 + ... + 5598810.

It is an arithmetic number, because the mean of its divisors is an integer number (11450439).

Almost surely, 2^1013368320 is an apocalyptic number.

1013368320 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 1013368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832070240).

1013368320 is an abundant number, since it is smaller than the sum of its proper divisors (2650772160).

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

1013368320 is an frugal number, since it uses more digits than its factorization.

1013368320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1013368320 is about 31833.4465617533. The cubic root of 1013368320 is about 1004.4363959525.

The spelling of 1013368320 in words is "one billion, thirteen million, three hundred sixty-eight thousand, three hundred twenty".