65877966 has 144 divisors (see below), whose sum is σ = 186732000. Its totient is φ = 16410240.

The previous prime is 65877949. The next prime is 65877967. The reversal of 65877966 is 66977856.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65877967) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 442060 + ... + 442208.

It is an arithmetic number, because the mean of its divisors is an integer number (1296750).

Almost surely, 2^65877966 is an apocalyptic number.

65877966 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 65877966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93366000).

65877966 is an abundant number, since it is smaller than the sum of its proper divisors (120854034).

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

65877966 is a wasteful number, since it uses less digits than its factorization.

65877966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 201 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 65877966 is about 8116.5242561086. The cubic root of 65877966 is about 403.8747732978.

The spelling of 65877966 in words is "sixty-five million, eight hundred seventy-seven thousand, nine hundred sixty-six".