1016267140 has 96 divisors (see below), whose sum is σ = 2592705024. Its totient is φ = 326645760.

The previous prime is 1016267101. The next prime is 1016267143. The reversal of 1016267140 is 417626101.

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

It is a junction number, because it is equal to n+sod(n) for n = 1016267099 and 1016267108.

It is not an unprimeable number, because it can be changed into a prime (1016267143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 739494 + ... + 740866.

It is an arithmetic number, because the mean of its divisors is an integer number (27007344).

Almost surely, 2^1016267140 is an apocalyptic number.

1016267140 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 1016267140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296352512).

1016267140 is an abundant number, since it is smaller than the sum of its proper divisors (1576437884).

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

1016267140 is a wasteful number, since it uses less digits than its factorization.

1016267140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 1016267140 is about 31878.9450891964. The cubic root of 1016267140 is about 1005.3932406640.

The spelling of 1016267140 in words is "one billion, sixteen million, two hundred sixty-seven thousand, one hundred forty".