65001984 has 80 divisors (see below), whose sum is σ = 175301280. Its totient is φ = 21401600.

The previous prime is 65001977. The next prime is 65002013. The reversal of 65001984 is 48910056.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154927 + ... + 155345.

It is an arithmetic number, because the mean of its divisors is an integer number (2191266).

Almost surely, 2^65001984 is an apocalyptic number.

65001984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65001984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87650640).

65001984 is an abundant number, since it is smaller than the sum of its proper divisors (110299296).

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

65001984 is a wasteful number, since it uses less digits than its factorization.

65001984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 65001984 is about 8062.3807898164. The cubic root of 65001984 is about 402.0766666480.

The spelling of 65001984 in words is "sixty-five million, one thousand, nine hundred eighty-four".