66589542 has 48 divisors (see below), whose sum is σ = 148674240. Its totient is φ = 21527856.

The previous prime is 66589541. The next prime is 66589543. The reversal of 66589542 is 24598566.

66589542 is a `hidden beast` number, since 66 + 589 + 5 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (66589541) and next prime (66589543).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66589541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175509 + ... + 175887.

It is an arithmetic number, because the mean of its divisors is an integer number (3097380).

Almost surely, 2^66589542 is an apocalyptic number.

66589542 is an abundant number, since it is smaller than the sum of its proper divisors (82084698).

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

66589542 is a wasteful number, since it uses less digits than its factorization.

66589542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 654 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 66589542 is about 8160.2415405428. The cubic root of 66589542 is about 405.3237101019.

The spelling of 66589542 in words is "sixty-six million, five hundred eighty-nine thousand, five hundred forty-two".