863045820 has 432 divisors, whose sum is σ = 3399671520. Its totient is φ = 181149696.

The previous prime is 863045803. The next prime is 863045863. The reversal of 863045820 is 28540368.

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 143 ways as a sum of consecutive naturals, for example, 4471644 + ... + 4471836.

It is an arithmetic number, because the mean of its divisors is an integer number (7869610).

Almost surely, 2^863045820 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 863045820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699835760).

863045820 is an abundant number, since it is smaller than the sum of its proper divisors (2536625700).

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

863045820 is a wasteful number, since it uses less digits than its factorization.

863045820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 863045820 is about 29377.6414982551. The cubic root of 863045820 is about 952.0898848234.

The spelling of 863045820 in words is "eight hundred sixty-three million, forty-five thousand, eight hundred twenty".