63096 has 32 divisors (see below), whose sum is σ = 172800. Its totient is φ = 19040.

The previous prime is 63079. The next prime is 63097. The reversal of 63096 is 69036.

It is a super-2 number, since 2×63096² = 7962210432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63097) by changing a digit.

63096 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145 + ... + 383.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

2⁶³⁰⁹⁶ is an apocalyptic number.

63096 is a gapful number since it is divisible by the number (66) 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 63096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86400).

63096 is an abundant number, since it is smaller than the sum of its proper divisors (109704).

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

63096 is a wasteful number, since it uses less digits than its factorization.

63096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 63096 is about 251.1891717411. The cubic root of 63096 is about 39.8107729059.

The spelling of 63096 in words is "sixty-three thousand, ninety-six".