65948652 has 144 divisors (see below), whose sum is σ = 213787392. Its totient is φ = 16640640.

The previous prime is 65948629. The next prime is 65948669. The reversal of 65948652 is 25684956.

65948652 is a `hidden beast` number, since 6 + 594 + 8 + 6 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 65948598 and 65948607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102243 + ... + 102885.

Almost surely, 2^65948652 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 65948652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106893696).

65948652 is an abundant number, since it is smaller than the sum of its proper divisors (147838740).

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

65948652 is a wasteful number, since it uses less digits than its factorization.

65948652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 703 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 65948652 is about 8120.8775387885. The cubic root of 65948652 is about 404.0191720471.

The spelling of 65948652 in words is "sixty-five million, nine hundred forty-eight thousand, six hundred fifty-two".