66414036 has 96 divisors (see below), whose sum is σ = 179504640. Its totient is φ = 18929664.

The previous prime is 66413993. The next prime is 66414077. The reversal of 66414036 is 63041466.

It is a junction number, because it is equal to n+sod(n) for n = 66413994 and 66414012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209350 + ... + 209666.

It is an arithmetic number, because the mean of its divisors is an integer number (1869840).

Almost surely, 2^66414036 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 66414036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89752320).

66414036 is an abundant number, since it is smaller than the sum of its proper divisors (113090604).

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

66414036 is a wasteful number, since it uses less digits than its factorization.

66414036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 66414036 is about 8149.4807196532. The cubic root of 66414036 is about 404.9673011247.

The spelling of 66414036 in words is "sixty-six million, four hundred fourteen thousand, thirty-six".