63724416 has 128 divisors (see below), whose sum is σ = 195970560. Its totient is φ = 17971200.

The previous prime is 63724403. The next prime is 63724447. The reversal of 63724416 is 61442736.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405810 + ... + 405966.

It is an arithmetic number, because the mean of its divisors is an integer number (1531020).

Almost surely, 2^63724416 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 63724416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97985280).

63724416 is an abundant number, since it is smaller than the sum of its proper divisors (132246144).

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

63724416 is a wasteful number, since it uses less digits than its factorization.

63724416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 320 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 63724416 is about 7982.7574183361. The cubic root of 63724416 is about 399.4250406169.

The spelling of 63724416 in words is "sixty-three million, seven hundred twenty-four thousand, four hundred sixteen".