1020008160 has 576 divisors, whose sum is σ = 4084819200. Its totient is φ = 236888064.

The previous prime is 1020008149. The next prime is 1020008167. The reversal of 1020008160 is 618000201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020008167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23721099 + ... + 23721141.

It is an arithmetic number, because the mean of its divisors is an integer number (7091700).

Almost surely, 2^1020008160 is an apocalyptic number.

1020008160 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 1020008160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042409600).

1020008160 is an abundant number, since it is smaller than the sum of its proper divisors (3064811040).

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

1020008160 is a wasteful number, since it uses less digits than its factorization.

1020008160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1020008160 is about 31937.5665948425. The cubic root of 1020008160 is about 1006.6253938802.

Adding to 1020008160 its reverse (618000201), we get a palindrome (1638008361).

The spelling of 1020008160 in words is "one billion, twenty million, eight thousand, one hundred sixty".