1016140320 has 576 divisors, whose sum is σ = 4121155584. Its totient is φ = 225607680.

The previous prime is 1016140313. The next prime is 1016140331. The reversal of 1016140320 is 230416101.

It is a happy number.

It is a super-2 number, since 2×1016140320² = 2065082299859404800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1016140293 and 1016140302.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9865389 + ... + 9865491.

It is an arithmetic number, because the mean of its divisors is an integer number (7154784).

Almost surely, 2^1016140320 is an apocalyptic number.

1016140320 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 1016140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060577792).

1016140320 is an abundant number, since it is smaller than the sum of its proper divisors (3105015264).

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

1016140320 is a wasteful number, since it uses less digits than its factorization.

1016140320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1016140320 is about 31876.9559399890. The cubic root of 1016140320 is about 1005.3514179090.

Adding to 1016140320 its reverse (230416101), we get a palindrome (1246556421).

The spelling of 1016140320 in words is "one billion, sixteen million, one hundred forty thousand, three hundred twenty".