66056064 has 32 divisors (see below), whose sum is σ = 175462440. Its totient is φ = 22018560.

The previous prime is 66056051. The next prime is 66056077. The reversal of 66056064 is 46065066.

It is an interprime number because it is at equal distance from previous prime (66056051) and next prime (66056077).

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85627 + ... + 86394.

Almost surely, 2^66056064 is an apocalyptic number.

66056064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

66056064 is an abundant number, since it is smaller than the sum of its proper divisors (109406376).

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

66056064 is a wasteful number, since it uses less digits than its factorization.

66056064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172038 (or 172026 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 66056064 is about 8127.4881728613. The cubic root of 66056064 is about 404.2383980004.

The spelling of 66056064 in words is "sixty-six million, fifty-six thousand, sixty-four", and thus it is an eban number.