1123641792 has 504 divisors, whose sum is σ = 4263700896. Its totient is φ = 276037632.

The previous prime is 1123641787. The next prime is 1123641803. The reversal of 1123641792 is 2971463211.

1123641792 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 641 + 7 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11583888 + ... + 11583984.

It is an arithmetic number, because the mean of its divisors is an integer number (8459724).

Almost surely, 2^1123641792 is an apocalyptic number.

1123641792 is a gapful number since it is divisible by the number (12) 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 1123641792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131850448).

1123641792 is an abundant number, since it is smaller than the sum of its proper divisors (3140059104).

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

1123641792 is a wasteful number, since it uses less digits than its factorization.

1123641792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 139 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 1123641792 is about 33520.7665783466. The cubic root of 1123641792 is about 1039.6231968300.

The spelling of 1123641792 in words is "one billion, one hundred twenty-three million, six hundred forty-one thousand, seven hundred ninety-two".