66935550 has 96 divisors (see below), whose sum is σ = 183202560. Its totient is φ = 16038400.

The previous prime is 66935549. The next prime is 66935551. The reversal of 66935550 is 5553966.

It is an interprime number because it is at equal distance from previous prime (66935549) and next prime (66935551).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 66935499 and 66935508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66935551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186271 + ... + 186629.

It is an arithmetic number, because the mean of its divisors is an integer number (1908360).

Almost surely, 2^66935550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66935550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91601280).

66935550 is an abundant number, since it is smaller than the sum of its proper divisors (116267010).

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

66935550 is a wasteful number, since it uses less digits than its factorization.

66935550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 39.

The square root of 66935550 is about 8181.4149143042. The cubic root of 66935550 is about 406.0245360373.

The spelling of 66935550 in words is "sixty-six million, nine hundred thirty-five thousand, five hundred fifty".