1005156864 has 140 divisors (see below), whose sum is σ = 3012266466. Its totient is φ = 334927872.

The previous prime is 1005156857. The next prime is 1005156871. The reversal of 1005156864 is 4686515001.

1005156864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1005156857) and next prime (1005156871).

It can be written as a sum of positive squares in only one way, i.e., 888516864 + 116640000 = 29808^2 + 10800^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 371902 + ... + 374594.

Almost surely, 2^1005156864 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 1005156864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506133233).

1005156864 is an abundant number, since it is smaller than the sum of its proper divisors (2007109602).

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

1005156864 is an frugal number, since it uses more digits than its factorization.

1005156864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1005156864 is about 31704.2089319384. The cubic root of 1005156864 is about 1001.7160082978.

The spelling of 1005156864 in words is "one billion, five million, one hundred fifty-six thousand, eight hundred sixty-four".