863432064 has 192 divisors, whose sum is σ = 2757390480. Its totient is φ = 257126400.

The previous prime is 863432033. The next prime is 863432077. The reversal of 863432064 is 460234368.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 772434 + ... + 773550.

Almost surely, 2^863432064 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 863432064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378695240).

863432064 is an abundant number, since it is smaller than the sum of its proper divisors (1893958416).

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

863432064 is a wasteful number, since it uses less digits than its factorization.

863432064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 863432064 is about 29384.2145377412. The cubic root of 863432064 is about 952.2318951129.

The spelling of 863432064 in words is "eight hundred sixty-three million, four hundred thirty-two thousand, sixty-four".