65688948 has 144 divisors (see below), whose sum is σ = 190612800. Its totient is φ = 19543680.

The previous prime is 65688937. The next prime is 65688967. The reversal of 65688948 is 84988656.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 65688894 and 65688903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1076838 + ... + 1076898.

It is an arithmetic number, because the mean of its divisors is an integer number (1323700).

Almost surely, 2^65688948 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 65688948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95306400).

65688948 is an abundant number, since it is smaller than the sum of its proper divisors (124923852).

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

65688948 is a wasteful number, since it uses less digits than its factorization.

65688948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 138 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 65688948 is about 8104.8718682037. The cubic root of 65688948 is about 403.4881355254.

The spelling of 65688948 in words is "sixty-five million, six hundred eighty-eight thousand, nine hundred forty-eight".