1823067216 has 320 divisors, whose sum is σ = 5939619840. Its totient is φ = 532224000.

The previous prime is 1823067109. The next prime is 1823067221. The reversal of 1823067216 is 6127603281.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7263091 + ... + 7263341.

It is an arithmetic number, because the mean of its divisors is an integer number (18561312).

Almost surely, 2^1823067216 is an apocalyptic number.

1823067216 is a gapful number since it is divisible by the number (16) 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 1823067216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969809920).

1823067216 is an abundant number, since it is smaller than the sum of its proper divisors (4116552624).

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

1823067216 is a wasteful number, since it uses less digits than its factorization.

1823067216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1823067216 is about 42697.3912083631. The cubic root of 1823067216 is about 1221.6146354020.

The spelling of 1823067216 in words is "one billion, eight hundred twenty-three million, sixty-seven thousand, two hundred sixteen".