1823307840 has 224 divisors, whose sum is σ = 6463710720. Its totient is φ = 483840000.

The previous prime is 1823307839. The next prime is 1823307869. The reversal of 1823307840 is 487033281.

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 = 1823307795 and 1823307804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2427465 + ... + 2428215.

Almost surely, 2^1823307840 is an apocalyptic number.

1823307840 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 1823307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231855360).

1823307840 is an abundant number, since it is smaller than the sum of its proper divisors (4640402880).

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

1823307840 is a wasteful number, since it uses less digits than its factorization.

1823307840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1823307840 is about 42700.2088987864. The cubic root of 1823307840 is about 1221.6683794193.

The spelling of 1823307840 in words is "one billion, eight hundred twenty-three million, three hundred seven thousand, eight hundred forty".