66579240 has 288 divisors, whose sum is σ = 255350880. Its totient is φ = 13837824.

The previous prime is 66579137. The next prime is 66579241. The reversal of 66579240 is 4297566.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (66579241) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 993687 + ... + 993753.

It is an arithmetic number, because the mean of its divisors is an integer number (886635).

Almost surely, 2^66579240 is an apocalyptic number.

66579240 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 66579240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127675440).

66579240 is an abundant number, since it is smaller than the sum of its proper divisors (188771640).

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

66579240 is a wasteful number, since it uses less digits than its factorization.

66579240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 66579240 is about 8159.6102848114. The cubic root of 66579240 is about 405.3028066182.

The spelling of 66579240 in words is "sixty-six million, five hundred seventy-nine thousand, two hundred forty".