63642096 has 120 divisors (see below), whose sum is σ = 214331520. Its totient is φ = 17221248.

The previous prime is 63642091. The next prime is 63642119. The reversal of 63642096 is 69024636.

63642096 is a `hidden beast` number, since 6 + 3 + 642 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 63642096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63642091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17491 + ... + 20813.

It is an arithmetic number, because the mean of its divisors is an integer number (1786096).

Almost surely, 2^63642096 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 63642096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107165760).

63642096 is an abundant number, since it is smaller than the sum of its proper divisors (150689424).

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

63642096 is a wasteful number, since it uses less digits than its factorization.

63642096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3363 (or 3354 counting only the distinct ones).

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

The square root of 63642096 is about 7977.5996389892. The cubic root of 63642096 is about 399.2529724096.

The spelling of 63642096 in words is "sixty-three million, six hundred forty-two thousand, ninety-six".