863424144 has 320 divisors, whose sum is σ = 2906956800. Its totient is φ = 242611200.

The previous prime is 863424137. The next prime is 863424151. The reversal of 863424144 is 441424368.

863424144 is a `hidden beast` number, since 8 + 634 + 2 + 4 + 14 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (863424137) and next prime (863424151).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 863424099 and 863424108.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6590959 + ... + 6591089.

It is an arithmetic number, because the mean of its divisors is an integer number (9084240).

Almost surely, 2^863424144 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 863424144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453478400).

863424144 is an abundant number, since it is smaller than the sum of its proper divisors (2043532656).

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

863424144 is a wasteful number, since it uses less digits than its factorization.

863424144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 239 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 863424144 is about 29384.0797711958. The cubic root of 863424144 is about 952.2289835927.

The spelling of 863424144 in words is "eight hundred sixty-three million, four hundred twenty-four thousand, one hundred forty-four".