65141856 has 144 divisors (see below), whose sum is σ = 202535424. Its totient is φ = 19740672.

The previous prime is 65141833. The next prime is 65141863. The reversal of 65141856 is 65814156.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×65141856² = 8486922806249472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 65141856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 475420 + ... + 475556.

It is an arithmetic number, because the mean of its divisors is an integer number (1406496).

Almost surely, 2^65141856 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 65141856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101267712).

65141856 is an abundant number, since it is smaller than the sum of its proper divisors (137393568).

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

65141856 is a wasteful number, since it uses less digits than its factorization.

65141856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 282 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 65141856 is about 8071.0504892486. The cubic root of 65141856 is about 402.3648577331.

The spelling of 65141856 in words is "sixty-five million, one hundred forty-one thousand, eight hundred fifty-six".