1002855168 has 432 divisors, whose sum is σ = 3571276800. Its totient is φ = 280433664.

The previous prime is 1002855167. The next prime is 1002855181. The reversal of 1002855168 is 8615582001.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002855167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21337321 + ... + 21337367.

Almost surely, 2^1002855168 is an apocalyptic number.

1002855168 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 1002855168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785638400).

1002855168 is an abundant number, since it is smaller than the sum of its proper divisors (2568421632).

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

1002855168 is an frugal number, since it uses more digits than its factorization.

1002855168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 1002855168 is about 31667.8885939685. Note that the first 3 decimals coincide. The cubic root of 1002855168 is about 1000.9508183246.

The spelling of 1002855168 in words is "one billion, two million, eight hundred fifty-five thousand, one hundred sixty-eight".