65618028 has 144 divisors (see below), whose sum is σ = 205208640. Its totient is φ = 17312256.

The previous prime is 65617997. The next prime is 65618029. The reversal of 65618028 is 82081656.

It is a happy number.

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 = 65617983 and 65618001.

It is not an unprimeable number, because it can be changed into a prime (65618029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1238050 + ... + 1238102.

It is an arithmetic number, because the mean of its divisors is an integer number (1425060).

Almost surely, 2^65618028 is an apocalyptic number.

65618028 is a gapful number since it is divisible by the number (68) 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 65618028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102604320).

65618028 is an abundant number, since it is smaller than the sum of its proper divisors (139590612).

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

65618028 is a wasteful number, since it uses less digits than its factorization.

65618028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 65618028 is about 8100.4955403975. The cubic root of 65618028 is about 403.3428767786.

The spelling of 65618028 in words is "sixty-five million, six hundred eighteen thousand, twenty-eight".