1810080864 has 192 divisors, whose sum is σ = 5583513600. Its totient is φ = 569327616.

The previous prime is 1810080851. The next prime is 1810080913. The reversal of 1810080864 is 4680800181.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 1569312 + ... + 1570464.

It is an arithmetic number, because the mean of its divisors is an integer number (29080800).

Almost surely, 2^1810080864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1810080864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2791756800).

1810080864 is an abundant number, since it is smaller than the sum of its proper divisors (3773432736).

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

1810080864 is a wasteful number, since it uses less digits than its factorization.

1810080864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1810080864 is about 42545.0451169111. The cubic root of 1810080864 is about 1218.7070562857.

The spelling of 1810080864 in words is "one billion, eight hundred ten million, eighty thousand, eight hundred sixty-four".