1811460672 has 140 divisors (see below), whose sum is σ = 6136965120. Its totient is φ = 517549824.

The previous prime is 1811460661. The next prime is 1811460719. The reversal of 1811460672 is 2760641181.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11329 + ... + 61247.

Almost surely, 2^1811460672 is an apocalyptic number.

1811460672 is a gapful number since it is divisible by the number (12) 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 1811460672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068482560).

1811460672 is an abundant number, since it is smaller than the sum of its proper divisors (4325504448).

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

1811460672 is an equidigital number, since it uses as much as digits as its factorization.

1811460672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49950 (or 49931 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1811460672 is about 42561.2578761484. The cubic root of 1811460672 is about 1219.0166473608.

The spelling of 1811460672 in words is "one billion, eight hundred eleven million, four hundred sixty thousand, six hundred seventy-two".