65842128 has 120 divisors (see below), whose sum is σ = 202995936. Its totient is φ = 19756800.

The previous prime is 65842103. The next prime is 65842177. The reversal of 65842128 is 82124856.

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

It is a junction number, because it is equal to n+sod(n) for n = 65842092 and 65842101.

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, 311943 + ... + 312153.

Almost surely, 2^65842128 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 65842128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101497968).

65842128 is an abundant number, since it is smaller than the sum of its proper divisors (137153808).

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

65842128 is a wasteful number, since it uses less digits than its factorization.

65842128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 424 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 65842128 is about 8114.3162373671. The cubic root of 65842128 is about 403.8015232646.

The spelling of 65842128 in words is "sixty-five million, eight hundred forty-two thousand, one hundred twenty-eight".