65671984 has 40 divisors (see below), whose sum is σ = 146731680. Its totient is φ = 27890688.

The previous prime is 65671951. The next prime is 65671987. The reversal of 65671984 is 48917656.

It is not an unprimeable number, because it can be changed into a prime (65671987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10062 + ... + 15250.

It is an arithmetic number, because the mean of its divisors is an integer number (3668292).

Almost surely, 2^65671984 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 65671984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73365840).

65671984 is an abundant number, since it is smaller than the sum of its proper divisors (81059696).

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

65671984 is a wasteful number, since it uses less digits than its factorization.

65671984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5317 (or 5311 counting only the distinct ones).

The product of its digits is 362880, while the sum is 46.

The square root of 65671984 is about 8103.8252695872. The cubic root of 65671984 is about 403.4533992812.

The spelling of 65671984 in words is "sixty-five million, six hundred seventy-one thousand, nine hundred eighty-four".