1016138620 has 192 divisors, whose sum is σ = 2839173120. Its totient is φ = 296828928.

The previous prime is 1016138609. The next prime is 1016138699. The reversal of 1016138620 is 268316101.

1016138620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1039572 + ... + 1040548.

It is an arithmetic number, because the mean of its divisors is an integer number (14787360).

Almost surely, 2^1016138620 is an apocalyptic number.

1016138620 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 1016138620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419586560).

1016138620 is an abundant number, since it is smaller than the sum of its proper divisors (1823034500).

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

1016138620 is a wasteful number, since it uses less digits than its factorization.

1016138620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 1016138620 is about 31876.9292749474. The cubic root of 1016138620 is about 1005.3508572586.

The spelling of 1016138620 in words is "one billion, sixteen million, one hundred thirty-eight thousand, six hundred twenty".