66417540 has 288 divisors, whose sum is σ = 241315200. Its totient is φ = 13547520.

The previous prime is 66417529. The next prime is 66417541. The reversal of 66417540 is 4571466.

It is a super-2 number, since 2×66417540² = 8822579239303200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66417541) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1619920 + ... + 1619960.

It is an arithmetic number, because the mean of its divisors is an integer number (837900).

Almost surely, 2^66417540 is an apocalyptic number.

66417540 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 66417540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120657600).

66417540 is an abundant number, since it is smaller than the sum of its proper divisors (174897660).

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

66417540 is a wasteful number, since it uses less digits than its factorization.

66417540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 66417540 is about 8149.6956998406. The cubic root of 66417540 is about 404.9744230152.

The spelling of 66417540 in words is "sixty-six million, four hundred seventeen thousand, five hundred forty".