1813366080 has 336 divisors, whose sum is σ = 6783628800. Its totient is φ = 442920960.

The previous prime is 1813366073. The next prime is 1813366091. The reversal of 1813366080 is 806633181.

1813366080 is a `hidden beast` number, since 1 + 8 + 13 + 36 + 608 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1695786 + ... + 1696854.

Almost surely, 2^1813366080 is an apocalyptic number.

1813366080 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 1813366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3391814400).

1813366080 is an abundant number, since it is smaller than the sum of its proper divisors (4970262720).

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

1813366080 is a wasteful number, since it uses less digits than its factorization.

1813366080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1813366080 is about 42583.6362937690. The cubic root of 1813366080 is about 1219.4439103219.

The spelling of 1813366080 in words is "one billion, eight hundred thirteen million, three hundred sixty-six thousand, eighty".