1823612960 has 96 divisors (see below), whose sum is σ = 4841544960. Its totient is φ = 644041728.

The previous prime is 1823612953. The next prime is 1823612963. The reversal of 1823612960 is 692163281.

It is a happy number.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1823612963) 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, 28781 + ... + 66899.

It is an arithmetic number, because the mean of its divisors is an integer number (50432760).

Almost surely, 2^1823612960 is an apocalyptic number.

1823612960 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 1823612960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420772480).

1823612960 is an abundant number, since it is smaller than the sum of its proper divisors (3017932000).

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

1823612960 is a wasteful number, since it uses less digits than its factorization.

1823612960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38170 (or 38162 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 1823612960 is about 42703.7815655710. The cubic root of 1823612960 is about 1221.7365219927.

The spelling of 1823612960 in words is "one billion, eight hundred twenty-three million, six hundred twelve thousand, nine hundred sixty".