1013827320 has 256 divisors, whose sum is σ = 3749760000. Its totient is φ = 241574400.

The previous prime is 1013827313. The next prime is 1013827363. The reversal of 1013827320 is 237283101.

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 63 ways as a sum of consecutive naturals, for example, 723981 + ... + 725379.

It is an arithmetic number, because the mean of its divisors is an integer number (14647500).

Almost surely, 2^1013827320 is an apocalyptic number.

1013827320 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 1013827320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874880000).

1013827320 is an abundant number, since it is smaller than the sum of its proper divisors (2735932680).

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

1013827320 is a wasteful number, since it uses less digits than its factorization.

1013827320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1013827320 is about 31840.6551440136. The cubic root of 1013827320 is about 1004.5880245052.

The spelling of 1013827320 in words is "one billion, thirteen million, eight hundred twenty-seven thousand, three hundred twenty".