1823054940 has 288 divisors, whose sum is σ = 6700861440. Its totient is φ = 391910400.

The previous prime is 1823054929. The next prime is 1823054953. The reversal of 1823054940 is 494503281.

1823054940 is a `hidden beast` number, since 1 + 82 + 30 + 549 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1823054895 and 1823054904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6487600 + ... + 6487880.

It is an arithmetic number, because the mean of its divisors is an integer number (23266880).

Almost surely, 2^1823054940 is an apocalyptic number.

1823054940 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 1823054940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3350430720).

1823054940 is an abundant number, since it is smaller than the sum of its proper divisors (4877806500).

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

1823054940 is a wasteful number, since it uses less digits than its factorization.

1823054940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1823054940 is about 42697.2474522656. The cubic root of 1823054940 is about 1221.6118933976.

The spelling of 1823054940 in words is "one billion, eight hundred twenty-three million, fifty-four thousand, nine hundred forty".