863725632 has 224 divisors, whose sum is σ = 2928030720. Its totient is φ = 218142720.

The previous prime is 863725631. The next prime is 863725651. The reversal of 863725632 is 236527368.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (863725631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 546219 + ... + 547797.

Almost surely, 2^863725632 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 863725632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464015360).

863725632 is an abundant number, since it is smaller than the sum of its proper divisors (2064305088).

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

863725632 is a wasteful number, since it uses less digits than its factorization.

863725632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1639 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 863725632 is about 29389.2094483673. The cubic root of 863725632 is about 952.3398029027.

The spelling of 863725632 in words is "eight hundred sixty-three million, seven hundred twenty-five thousand, six hundred thirty-two".