1824768036 has 162 divisors, whose sum is σ = 5811130962. Its totient is φ = 481178880.

The previous prime is 1824767983. The next prime is 1824768041. The reversal of 1824768036 is 6308674281.

It can be written as a sum of positive squares in 3 ways, for example, as 85377600 + 1739390436 = 9240^2 + 41706^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1824767982 and 1824768000.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 295056 + ... + 301176.

Almost surely, 2^1824768036 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 1824768036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905565481).

1824768036 is an abundant number, since it is smaller than the sum of its proper divisors (3986362926).

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

1824768036 is a wasteful number, since it uses less digits than its factorization.

1824768036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6171 (or 6146 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 1824768036 is about 42717.3037070459. The cubic root of 1824768036 is about 1221.9944167543.

The spelling of 1824768036 in words is "one billion, eight hundred twenty-four million, seven hundred sixty-eight thousand, thirty-six".