63600096 has 192 divisors, whose sum is σ = 204374016. Its totient is φ = 16934400.

The previous prime is 63600091. The next prime is 63600101. The reversal of 63600096 is 69000636.

It is an interprime number because it is at equal distance from previous prime (63600091) and next prime (63600101).

It is a super-2 number, since 2×63600096² = 8089944422418432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63600091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 895741 + ... + 895811.

It is an arithmetic number, because the mean of its divisors is an integer number (1064448).

Almost surely, 2^63600096 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 63600096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102187008).

63600096 is an abundant number, since it is smaller than the sum of its proper divisors (140773920).

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

63600096 is a wasteful number, since it uses less digits than its factorization.

63600096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 63600096 is about 7974.9668337868. The cubic root of 63600096 is about 399.1651253398.

The spelling of 63600096 in words is "sixty-three million, six hundred thousand, ninety-six".