55963680 has 96 divisors (see below), whose sum is σ = 182020608. Its totient is φ = 14438400.

The previous prime is 55963673. The next prime is 55963681. The reversal of 55963680 is 8636955.

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

It is not an unprimeable number, because it can be changed into a prime (55963681) by changing a digit.

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, 13000 + ... + 16760.

It is an arithmetic number, because the mean of its divisors is an integer number (1896048).

Almost surely, 2^55963680 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 55963680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91010304).

55963680 is an abundant number, since it is smaller than the sum of its proper divisors (126056928).

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

55963680 is a wasteful number, since it uses less digits than its factorization.

55963680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3810 (or 3802 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 55963680 is about 7480.8876478664. The cubic root of 55963680 is about 382.5035071659.

The spelling of 55963680 in words is "fifty-five million, nine hundred sixty-three thousand, six hundred eighty".