65142864 has 60 divisors (see below), whose sum is σ = 184836756. Its totient is φ = 21413376.

The previous prime is 65142853. The next prime is 65142881. The reversal of 65142864 is 46824156.

It can be written as a sum of positive squares in 2 ways, for example, as 31270464 + 33872400 = 5592^2 + 5820^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7414 + ... + 13610.

Almost surely, 2^65142864 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 65142864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92418378).

65142864 is an abundant number, since it is smaller than the sum of its proper divisors (119693892).

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

65142864 is a wasteful number, since it uses less digits than its factorization.

65142864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6284 (or 6275 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 65142864 is about 8071.1129344100. The cubic root of 65142864 is about 402.3669331099.

The spelling of 65142864 in words is "sixty-five million, one hundred forty-two thousand, eight hundred sixty-four".