1124167968 has 288 divisors, whose sum is σ = 4023032832. Its totient is φ = 289267200.

The previous prime is 1124167939. The next prime is 1124167969. The reversal of 1124167968 is 8697614211.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (1124167969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3614533 + ... + 3614843.

It is an arithmetic number, because the mean of its divisors is an integer number (13968864).

Almost surely, 2^1124167968 is an apocalyptic number.

1124167968 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 1124167968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011516416).

1124167968 is an abundant number, since it is smaller than the sum of its proper divisors (2898864864).

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

1124167968 is a wasteful number, since it uses less digits than its factorization.

1124167968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 497 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 1124167968 is about 33528.6141676032. The cubic root of 1124167968 is about 1039.7854488380.

The spelling of 1124167968 in words is "one billion, one hundred twenty-four million, one hundred sixty-seven thousand, nine hundred sixty-eight".