66956652 has 96 divisors (see below), whose sum is σ = 204861440. Its totient is φ = 18506880.

The previous prime is 66956639. The next prime is 66956671. The reversal of 66956652 is 25665966.

It is a junction number, because it is equal to n+sod(n) for n = 66956598 and 66956607.

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, 22008 + ... + 24864.

Almost surely, 2^66956652 is an apocalyptic number.

66956652 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66956652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102430720).

66956652 is an abundant number, since it is smaller than the sum of its proper divisors (137904788).

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

66956652 is a wasteful number, since it uses less digits than its factorization.

66956652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908 (or 2900 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 66956652 is about 8182.7044429088. The cubic root of 66956652 is about 406.0671991142.

The spelling of 66956652 in words is "sixty-six million, nine hundred fifty-six thousand, six hundred fifty-two".