1023868160 has 144 divisors (see below), whose sum is σ = 2820720000. Its totient is φ = 348807168.

The previous prime is 1023868159. The next prime is 1023868169. The reversal of 1023868160 is 618683201.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1023868160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023868169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2051591 + ... + 2052089.

Almost surely, 2^1023868160 is an apocalyptic number.

1023868160 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 1023868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410360000).

1023868160 is an abundant number, since it is smaller than the sum of its proper divisors (1796851840).

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

1023868160 is an equidigital number, since it uses as much as digits as its factorization.

1023868160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 1023868160 is about 31997.9399336895. The cubic root of 1023868160 is about 1007.8935807699.

The spelling of 1023868160 in words is "one billion, twenty-three million, eight hundred sixty-eight thousand, one hundred sixty".