1016278956 has 144 divisors (see below), whose sum is σ = 3213520128. Its totient is φ = 263088000.

The previous prime is 1016278927. The next prime is 1016279003. The reversal of 1016278956 is 6598726101.

1016278956 = T₄₃₃ + T₄₃₄ + ... + T₁₈₃₄.

1016278956 is a `hidden beast` number, since 10 + 1 + 627 + 8 + 9 + 5 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1449406 + ... + 1450106.

It is an arithmetic number, because the mean of its divisors is an integer number (22316112).

Almost surely, 2^1016278956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1016278956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606760064).

1016278956 is an abundant number, since it is smaller than the sum of its proper divisors (2197241172).

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

1016278956 is a wasteful number, since it uses less digits than its factorization.

1016278956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1016278956 is about 31879.1304147400. The cubic root of 1016278956 is about 1005.3971371724.

It can be divided in two parts, 1016 and 278956, that added together give a palindrome (279972).

The spelling of 1016278956 in words is "one billion, sixteen million, two hundred seventy-eight thousand, nine hundred fifty-six".