1121640960 has 480 divisors, whose sum is σ = 4231979136. Its totient is φ = 252313600.

The previous prime is 1121640959. The next prime is 1121641019. The reversal of 1121640960 is 690461211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×1121640960³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15797725 + ... + 15797795.

Almost surely, 2^1121640960 is an apocalyptic number.

1121640960 is a gapful number since it is divisible by the number (10) 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 1121640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115989568).

1121640960 is an abundant number, since it is smaller than the sum of its proper divisors (3110338176).

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

1121640960 is a wasteful number, since it uses less digits than its factorization.

1121640960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1121640960 is about 33490.9086171158. The cubic root of 1121640960 is about 1039.0057559160.

The spelling of 1121640960 in words is "one billion, one hundred twenty-one million, six hundred forty thousand, nine hundred sixty".