1121624064 has 224 divisors, whose sum is σ = 3633094080. Its totient is φ = 339148800.

The previous prime is 1121624041. The next prime is 1121624071. The reversal of 1121624064 is 4604261211.

1121624064 is a `hidden beast` number, since 11 + 21 + 624 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2432794 + ... + 2433254.

It is an arithmetic number, because the mean of its divisors is an integer number (16219170).

Almost surely, 2^1121624064 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 1121624064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816547040).

1121624064 is an abundant number, since it is smaller than the sum of its proper divisors (2511470016).

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

1121624064 is an equidigital number, since it uses as much as digits as its factorization.

1121624064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1121624064 is about 33490.6563686053. The cubic root of 1121624064 is about 1039.0005388189. Note that the first 3 decimals are identical.

Adding to 1121624064 its reverse (4604261211), we get a palindrome (5725885275).

The spelling of 1121624064 in words is "one billion, one hundred twenty-one million, six hundred twenty-four thousand, sixty-four".