1000618956 has 72 divisors (see below), whose sum is σ = 2658880224. Its totient is φ = 316673280.

The previous prime is 1000618943. The next prime is 1000618973. The reversal of 1000618956 is 6598160001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1000618956.

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 23 ways as a sum of consecutive naturals, for example, 109026 + ... + 117846.

It is an arithmetic number, because the mean of its divisors is an integer number (36928892).

Almost surely, 2^1000618956 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 1000618956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329440112).

1000618956 is an abundant number, since it is smaller than the sum of its proper divisors (1658261268).

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

1000618956 is a wasteful number, since it uses less digits than its factorization.

1000618956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8991 (or 8986 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1000618956 is about 31632.5616414479. The cubic root of 1000618956 is about 1000.2062761139.

Adding to 1000618956 its reverse (6598160001), we get a palindrome (7598778957).

The spelling of 1000618956 in words is "one billion, six hundred eighteen thousand, nine hundred fifty-six".