1021863168 has 288 divisors, whose sum is σ = 3296563200. Its totient is φ = 311040000.

The previous prime is 1021863133. The next prime is 1021863197. The reversal of 1021863168 is 8613681201.

1021863168 is a `hidden beast` number, since 1 + 0 + 2 + 18 + 631 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1021863168² = 2088408668229992448, which contains 22 as substring.

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

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, 4071043 + ... + 4071293.

It is an arithmetic number, because the mean of its divisors is an integer number (11446400).

Almost surely, 2^1021863168 is an apocalyptic number.

1021863168 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 1021863168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648281600).

1021863168 is an abundant number, since it is smaller than the sum of its proper divisors (2274700032).

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

1021863168 is a wasteful number, since it uses less digits than its factorization.

1021863168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1021863168 is about 31966.5945637004. The cubic root of 1021863168 is about 1007.2352476065.

The spelling of 1021863168 in words is "one billion, twenty-one million, eight hundred sixty-three thousand, one hundred sixty-eight".