66955392 has 288 divisors, whose sum is σ = 242498880. Its totient is φ = 17335296.

The previous prime is 66955391. The next prime is 66955393. The reversal of 66955392 is 29355966.

66955392 is a `hidden beast` number, since 6 + 6 + 9 + 553 + 92 = 666.

66955392 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 (66955391) and next prime (66955393).

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (437400) is a multiple of the sum of its prime divisors (54).

It is not an unprimeable number, because it can be changed into a prime (66955391) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2911093 + ... + 2911115.

It is an arithmetic number, because the mean of its divisors is an integer number (842010).

Almost surely, 2^66955392 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 66955392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121249440).

66955392 is an abundant number, since it is smaller than the sum of its proper divisors (175543488).

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

66955392 is a wasteful number, since it uses less digits than its factorization.

66955392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 54 counting only the distinct ones).

The product of its digits is 437400, while the sum is 45.

The square root of 66955392 is about 8182.6274508864. The cubic root of 66955392 is about 406.0646519544.

The spelling of 66955392 in words is "sixty-six million, nine hundred fifty-five thousand, three hundred ninety-two".