66952576 has 32 divisors (see below), whose sum is σ = 134242200. Its totient is φ = 33260544.

The previous prime is 66952559. The next prime is 66952577. The reversal of 66952576 is 67525966.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66952577) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19260 + ... + 22468.

Almost surely, 2^66952576 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 66952576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67121100).

66952576 is an abundant number, since it is smaller than the sum of its proper divisors (67289624).

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

66952576 is a wasteful number, since it uses less digits than its factorization.

66952576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3386 (or 3374 counting only the distinct ones).

The product of its digits is 680400, while the sum is 46.

The square root of 66952576 is about 8182.4553772080. The cubic root of 66952576 is about 406.0589591388.

It can be divided in two parts, 66952 and 576, that added together give a triangular number (67528 = T₃₆₇).

The spelling of 66952576 in words is "sixty-six million, nine hundred fifty-two thousand, five hundred seventy-six".