66975060 has 48 divisors (see below), whose sum is σ = 188983872. Its totient is φ = 17721600.

The previous prime is 66975031. The next prime is 66975061. The reversal of 66975060 is 6057966.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66975061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3600 + ... + 12120.

It is an arithmetic number, because the mean of its divisors is an integer number (3937164).

Almost surely, 2^66975060 is an apocalyptic number.

66975060 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66975060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94491936).

66975060 is an abundant number, since it is smaller than the sum of its proper divisors (122008812).

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

66975060 is a wasteful number, since it uses less digits than its factorization.

66975060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8664 (or 8662 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 66975060 is about 8183.8291771029. The cubic root of 66975060 is about 406.1044082630.

The spelling of 66975060 in words is "sixty-six million, nine hundred seventy-five thousand, sixty".