65991948 has 72 divisors (see below), whose sum is σ = 173031936. Its totient is φ = 19551840.

The previous prime is 65991931. The next prime is 65991949. The reversal of 65991948 is 84919956.

It is a self number, because there is not a number n which added to its sum of digits gives 65991948.

It is not an unprimeable number, because it can be changed into a prime (65991949) 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, 67761 + ... + 68727.

Almost surely, 2^65991948 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 65991948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86515968).

65991948 is an abundant number, since it is smaller than the sum of its proper divisors (107039988).

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

65991948 is a wasteful number, since it uses less digits than its factorization.

65991948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1030 counting only the distinct ones).

The product of its digits is 699840, while the sum is 51.

The square root of 65991948 is about 8123.5428231776. The cubic root of 65991948 is about 404.1075670178.

The spelling of 65991948 in words is "sixty-five million, nine hundred ninety-one thousand, nine hundred forty-eight".