63720096 has 96 divisors (see below), whose sum is σ = 184923648. Its totient is φ = 19050240.

The previous prime is 63720089. The next prime is 63720113. The reversal of 63720096 is 69002736.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87285 + ... + 88011.

It is an arithmetic number, because the mean of its divisors is an integer number (1926288).

Almost surely, 2^63720096 is an apocalyptic number.

63720096 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 63720096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92461824).

63720096 is an abundant number, since it is smaller than the sum of its proper divisors (121203552).

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

63720096 is a wasteful number, since it uses less digits than its factorization.

63720096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 63720096 is about 7982.4868305560. The cubic root of 63720096 is about 399.4160144839.

The spelling of 63720096 in words is "sixty-three million, seven hundred twenty thousand, ninety-six".