1233317664 has 240 divisors, whose sum is σ = 3878582400. Its totient is φ = 383325696.

The previous prime is 1233317663. The next prime is 1233317693. The reversal of 1233317664 is 4667133321.

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 (1233317663) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 3890434 + ... + 3890750.

It is an arithmetic number, because the mean of its divisors is an integer number (16160760).

Almost surely, 2^1233317664 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 1233317664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939291200).

1233317664 is an abundant number, since it is smaller than the sum of its proper divisors (2645264736).

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

1233317664 is a wasteful number, since it uses less digits than its factorization.

1233317664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 420 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 1233317664 is about 35118.6227520386. The cubic root of 1233317664 is about 1072.4037333517.

The spelling of 1233317664 in words is "one billion, two hundred thirty-three million, three hundred seventeen thousand, six hundred sixty-four".