65648952 has 96 divisors (see below), whose sum is σ = 192363600. Its totient is φ = 20155392.

The previous prime is 65648941. The next prime is 65648959. The reversal of 65648952 is 25984656.

65648952 is a `hidden beast` number, since 6 + 564 + 89 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 65648898 and 65648907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65648959) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49968 + ... + 51264.

Almost surely, 2^65648952 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 65648952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96181800).

65648952 is an abundant number, since it is smaller than the sum of its proper divisors (126714648).

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

65648952 is a wasteful number, since it uses less digits than its factorization.

65648952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1358 counting only the distinct ones).

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

The square root of 65648952 is about 8102.4040876767. The cubic root of 65648952 is about 403.4062283535.

The spelling of 65648952 in words is "sixty-five million, six hundred forty-eight thousand, nine hundred fifty-two".