66760344 has 144 divisors (see below), whose sum is σ = 213408000. Its totient is φ = 18797184.

The previous prime is 66760333. The next prime is 66760361. The reversal of 66760344 is 44306766.

66760344 is a `hidden beast` number, since 6 + 6 + 7 + 603 + 44 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 66760299 and 66760308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 447982 + ... + 448130.

It is an arithmetic number, because the mean of its divisors is an integer number (1482000).

Almost surely, 2^66760344 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 66760344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106704000).

66760344 is an abundant number, since it is smaller than the sum of its proper divisors (146647656).

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

66760344 is a wasteful number, since it uses less digits than its factorization.

66760344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 66760344 is about 8170.7003371804. The cubic root of 66760344 is about 405.6699656388.

The spelling of 66760344 in words is "sixty-six million, seven hundred sixty thousand, three hundred forty-four".