1005966864 has 400 divisors, whose sum is σ = 3552947200. Its totient is φ = 274337280.

The previous prime is 1005966853. The next prime is 1005966883. The reversal of 1005966864 is 4686695001.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 13780332 + ... + 13780404.

It is an arithmetic number, because the mean of its divisors is an integer number (8882368).

Almost surely, 2^1005966864 is an apocalyptic number.

1005966864 is a gapful number since it is divisible by the number (14) 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 1005966864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776473600).

1005966864 is an abundant number, since it is smaller than the sum of its proper divisors (2546980336).

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

1005966864 is an equidigital number, since it uses as much as digits as its factorization.

1005966864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1005966864 is about 31716.9806885838. The cubic root of 1005966864 is about 1001.9850117877.

The spelling of 1005966864 in words is "one billion, five million, nine hundred sixty-six thousand, eight hundred sixty-four".