66091410 has 288 divisors, whose sum is σ = 235186560. Its totient is φ = 12925440.

The previous prime is 66091381. The next prime is 66091433. The reversal of 66091410 is 1419066.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3887722 + ... + 3887738.

It is an arithmetic number, because the mean of its divisors is an integer number (816620).

Almost surely, 2^66091410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66091410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117593280).

66091410 is an abundant number, since it is smaller than the sum of its proper divisors (169095150).

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

66091410 is a wasteful number, since it uses less digits than its factorization.

66091410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 66091410 is about 8129.6623546123. The cubic root of 66091410 is about 404.3104865760.

The spelling of 66091410 in words is "sixty-six million, ninety-one thousand, four hundred ten".