65661834 has 64 divisors (see below), whose sum is σ = 159667200. Its totient is φ = 17584128.

The previous prime is 65661833. The next prime is 65661863. The reversal of 65661834 is 43816656.

It is a super-2 number, since 2×65661834² = 8622952888487112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 65661792 and 65661801.

It is not an unprimeable number, because it can be changed into a prime (65661833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85002 + ... + 85770.

It is an arithmetic number, because the mean of its divisors is an integer number (2494800).

Almost surely, 2^65661834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65661834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79833600).

65661834 is an abundant number, since it is smaller than the sum of its proper divisors (94005366).

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

65661834 is a wasteful number, since it uses less digits than its factorization.

65661834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907.

The product of its digits is 103680, while the sum is 39.

The square root of 65661834 is about 8103.1989979267. The cubic root of 65661834 is about 403.4326128273.

The spelling of 65661834 in words is "sixty-five million, six hundred sixty-one thousand, eight hundred thirty-four".