63834264 has 128 divisors (see below), whose sum is σ = 193536000. Its totient is φ = 19377792.

The previous prime is 63834263. The next prime is 63834293. The reversal of 63834264 is 46243836.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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.

Its product of digits (82944) is a multiple of the sum of its prime divisors (324).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63834263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356527 + ... + 356705.

It is an arithmetic number, because the mean of its divisors is an integer number (1512000).

Almost surely, 2^63834264 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 63834264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96768000).

63834264 is an abundant number, since it is smaller than the sum of its proper divisors (129701736).

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

63834264 is a wasteful number, since it uses less digits than its factorization.

63834264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 324 counting only the distinct ones).

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

The square root of 63834264 is about 7989.6347851451. The cubic root of 63834264 is about 399.6544181857.

The spelling of 63834264 in words is "sixty-three million, eight hundred thirty-four thousand, two hundred sixty-four".