63924140 has 96 divisors (see below), whose sum is σ = 159667200. Its totient is φ = 21047040.

The previous prime is 63924137. The next prime is 63924143. The reversal of 63924140 is 4142936.

It is an interprime number because it is at equal distance from previous prime (63924137) and next prime (63924143).

It is not an unprimeable number, because it can be changed into a prime (63924143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586406 + ... + 586514.

It is an arithmetic number, because the mean of its divisors is an integer number (1663200).

Almost surely, 2^63924140 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 63924140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79833600).

63924140 is an abundant number, since it is smaller than the sum of its proper divisors (95743060).

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

63924140 is a wasteful number, since it uses less digits than its factorization.

63924140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 63924140 is about 7995.2573442010. The cubic root of 63924140 is about 399.8418958493.

The spelling of 63924140 in words is "sixty-three million, nine hundred twenty-four thousand, one hundred forty".