1013856000 has 288 divisors, whose sum is σ = 3443731200. Its totient is φ = 264294400.

The previous prime is 1013855987. The next prime is 1013856043. The reversal of 1013856000 is 6583101.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 5663911 + ... + 5664089.

It is an arithmetic number, because the mean of its divisors is an integer number (11957400).

Almost surely, 2^1013856000 is an apocalyptic number.

1013856000 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 1013856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721865600).

1013856000 is an abundant number, since it is smaller than the sum of its proper divisors (2429875200).

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

1013856000 is an equidigital number, since it uses as much as digits as its factorization.

1013856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1013856000 is about 31841.1055084462. The cubic root of 1013856000 is about 1004.5974972929.

The spelling of 1013856000 in words is "one billion, thirteen million, eight hundred fifty-six thousand".