863625312 has 288 divisors, whose sum is σ = 2815132320. Its totient is φ = 248832000.

The previous prime is 863625299. The next prime is 863625319. The reversal of 863625312 is 213526368.

It is a happy number.

863625312 is a `hidden beast` number, since 8 + 63 + 62 + 531 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (863625319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7923114 + ... + 7923222.

It is an arithmetic number, because the mean of its divisors is an integer number (9774765).

Almost surely, 2^863625312 is an apocalyptic number.

863625312 is a gapful number since it is divisible by the number (82) 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 863625312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407566160).

863625312 is an abundant number, since it is smaller than the sum of its proper divisors (1951507008).

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

863625312 is a wasteful number, since it uses less digits than its factorization.

863625312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 227 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 863625312 is about 29387.5026499361. The cubic root of 863625312 is about 952.3029306891.

The spelling of 863625312 in words is "eight hundred sixty-three million, six hundred twenty-five thousand, three hundred twelve".