863820144 has 240 divisors, whose sum is σ = 2768822784. Its totient is φ = 249062400.

The previous prime is 863820127. The next prime is 863820149. The reversal of 863820144 is 441028368.

863820144 is a `hidden beast` number, since 8 + 638 + 2 + 0 + 14 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 863820099 and 863820108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (863820149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3052227 + ... + 3052509.

Almost surely, 2^863820144 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 863820144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384411392).

863820144 is an abundant number, since it is smaller than the sum of its proper divisors (1905002640).

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

863820144 is a wasteful number, since it uses less digits than its factorization.

863820144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 863820144 is about 29390.8173414759. The cubic root of 863820144 is about 952.3745377974.

It can be divided in two parts, 8638 and 20144, that added together give a palindrome (28782).

The spelling of 863820144 in words is "eight hundred sixty-three million, eight hundred twenty thousand, one hundred forty-four".