1820720832 has 112 divisors (see below), whose sum is σ = 5618073600. Its totient is φ = 520187136.

The previous prime is 1820720831. The next prime is 1820720873. The reversal of 1820720832 is 2380270281.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 1820720793 and 1820720802.

It is not an unprimeable number, because it can be changed into a prime (1820720831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52033 + ... + 79679.

Almost surely, 2^1820720832 is an apocalyptic number.

1820720832 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 1820720832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809036800).

1820720832 is an abundant number, since it is smaller than the sum of its proper divisors (3797352768).

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

1820720832 is an equidigital number, since it uses as much as digits as its factorization.

1820720832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27683 (or 27659 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 1820720832 is about 42669.9054604062. The cubic root of 1820720832 is about 1221.0903161639.

The spelling of 1820720832 in words is "one billion, eight hundred twenty million, seven hundred twenty thousand, eight hundred thirty-two".