66412540 has 48 divisors (see below), whose sum is σ = 152457984. Its totient is φ = 24192000.

The previous prime is 66412529. The next prime is 66412547. The reversal of 66412540 is 4521466.

It is a junction number, because it is equal to n+sod(n) for n = 66412499 and 66412508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66412547) 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, 7390 + ... + 13690.

It is an arithmetic number, because the mean of its divisors is an integer number (3176208).

Almost surely, 2^66412540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66412540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76228992).

66412540 is an abundant number, since it is smaller than the sum of its proper divisors (86045444).

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

66412540 is a wasteful number, since it uses less digits than its factorization.

66412540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6358 (or 6356 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 66412540 is about 8149.3889341471. The cubic root of 66412540 is about 404.9642604239.

The spelling of 66412540 in words is "sixty-six million, four hundred twelve thousand, five hundred forty".