1164829248 has 252 divisors, whose sum is σ = 3811960880. Its totient is φ = 352408320.

The previous prime is 1164829217. The next prime is 1164829277. The reversal of 1164829248 is 8429284611.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1881483 + ... + 1882101.

Almost surely, 2^1164829248 is an apocalyptic number.

1164829248 is a gapful number since it is divisible by the number (18) 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 1164829248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905980440).

1164829248 is an abundant number, since it is smaller than the sum of its proper divisors (2647131632).

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

1164829248 is an equidigital number, since it uses as much as digits as its factorization.

1164829248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 635 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 1164829248 is about 34129.5948994417. The cubic root of 1164829248 is about 1052.1736522218.

The spelling of 1164829248 in words is "one billion, one hundred sixty-four million, eight hundred twenty-nine thousand, two hundred forty-eight".