63624960 has 288 divisors, whose sum is σ = 259015680. Its totient is φ = 14487552.

The previous prime is 63624949. The next prime is 63624971. The reversal of 63624960 is 6942636.

It is an interprime number because it is at equal distance from previous prime (63624949) and next prime (63624971).

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 241789 + ... + 242051.

It is an arithmetic number, because the mean of its divisors is an integer number (899360).

Almost surely, 2^63624960 is an apocalyptic number.

63624960 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 63624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129507840).

63624960 is an abundant number, since it is smaller than the sum of its proper divisors (195390720).

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

63624960 is a wasteful number, since it uses less digits than its factorization.

63624960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 63624960 is about 7976.5255594150. The cubic root of 63624960 is about 399.2171354741.

The spelling of 63624960 in words is "sixty-three million, six hundred twenty-four thousand, nine hundred sixty".