863134272 has 448 divisors, whose sum is σ = 3413760000. Its totient is φ = 206530560.

The previous prime is 863134247. The next prime is 863134277. The reversal of 863134272 is 272431368.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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 not an unprimeable number, because it can be changed into a prime (863134277) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1729479 + ... + 1729977.

It is an arithmetic number, because the mean of its divisors is an integer number (7620000).

Almost surely, 2^863134272 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 863134272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706880000).

863134272 is an abundant number, since it is smaller than the sum of its proper divisors (2550625728).

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

863134272 is a wasteful number, since it uses less digits than its factorization.

863134272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 535 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 863134272 is about 29379.1468902690. The cubic root of 863134272 is about 952.1224097005.

The spelling of 863134272 in words is "eight hundred sixty-three million, one hundred thirty-four thousand, two hundred seventy-two".