63233820 has 144 divisors (see below), whose sum is σ = 210424032. Its totient is φ = 15275520.

The previous prime is 63233789. The next prime is 63233827. The reversal of 63233820 is 2833236.

63233820 is a `hidden beast` number, since 632 + 3 + 3 + 8 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63233827) 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, 142519 + ... + 142961.

It is an arithmetic number, because the mean of its divisors is an integer number (1461278).

Almost surely, 2^63233820 is an apocalyptic number.

63233820 is a gapful number since it is divisible by the number (60) 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 63233820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105212016).

63233820 is an abundant number, since it is smaller than the sum of its proper divisors (147190212).

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

63233820 is a wasteful number, since it uses less digits than its factorization.

63233820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 63233820 is about 7951.9695673462. The cubic root of 63233820 is about 398.3973792589.

The spelling of 63233820 in words is "sixty-three million, two hundred thirty-three thousand, eight hundred twenty".