66955296 has 48 divisors (see below), whose sum is σ = 180055008. Its totient is φ = 21772800.

The previous prime is 66955283. The next prime is 66955309. The reversal of 66955296 is 69255966.

66955296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66955283) and next prime (66955309).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4570 + ... + 12441.

It is an arithmetic number, because the mean of its divisors is an integer number (3751146).

Almost surely, 2^66955296 is an apocalyptic number.

It is an amenable number.

66955296 is an abundant number, since it is smaller than the sum of its proper divisors (113099712).

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

66955296 is a wasteful number, since it uses less digits than its factorization.

66955296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17065 (or 17057 counting only the distinct ones).

The product of its digits is 874800, while the sum is 48.

The square root of 66955296 is about 8182.6215847979. The cubic root of 66955296 is about 406.0644578837.

The spelling of 66955296 in words is "sixty-six million, nine hundred fifty-five thousand, two hundred ninety-six".