1005229764 has 336 divisors, whose sum is σ = 3405123456. Its totient is φ = 254041920.

The previous prime is 1005229763. The next prime is 1005229781. The reversal of 1005229764 is 4679225001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005229763) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 27168354 + ... + 27168390.

It is an arithmetic number, because the mean of its divisors is an integer number (10134296).

Almost surely, 2^1005229764 is an apocalyptic number.

1005229764 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 1005229764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702561728).

1005229764 is an abundant number, since it is smaller than the sum of its proper divisors (2399893692).

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

1005229764 is an equidigital number, since it uses as much as digits as its factorization.

1005229764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1005229764 is about 31705.3586007161. The cubic root of 1005229764 is about 1001.7402245286.

The spelling of 1005229764 in words is "one billion, five million, two hundred twenty-nine thousand, seven hundred sixty-four".