1121927664 has 160 divisors (see below), whose sum is σ = 3449779200. Its totient is φ = 309703680.

The previous prime is 1121927659. The next prime is 1121927671. The reversal of 1121927664 is 4667291211.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 541222 + ... + 543290.

It is an arithmetic number, because the mean of its divisors is an integer number (21561120).

Almost surely, 2^1121927664 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 1121927664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724889600).

1121927664 is an abundant number, since it is smaller than the sum of its proper divisors (2327851536).

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

1121927664 is a wasteful number, since it uses less digits than its factorization.

1121927664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2177 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 1121927664 is about 33495.1886694194. The cubic root of 1121927664 is about 1039.0942755462.

It can be divided in two parts, 11219 and 27664, that added together give a palindrome (38883).

The spelling of 1121927664 in words is "one billion, one hundred twenty-one million, nine hundred twenty-seven thousand, six hundred sixty-four".