65679144 has 48 divisors (see below), whose sum is σ = 168840000. Its totient is φ = 21290688.

The previous prime is 65679139. The next prime is 65679151. The reversal of 65679144 is 44197656.

It is a junction number, because it is equal to n+sod(n) for n = 65679096 and 65679105.

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, 31857 + ... + 33855.

It is an arithmetic number, because the mean of its divisors is an integer number (3517500).

Almost surely, 2^65679144 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 65679144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84420000).

65679144 is an abundant number, since it is smaller than the sum of its proper divisors (103160856).

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

65679144 is a wasteful number, since it uses less digits than its factorization.

65679144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2041 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 65679144 is about 8104.2670242287. The cubic root of 65679144 is about 403.4680611465.

It can be divided in two parts, 656 and 79144, that added together give a triangular number (79800 = T₃₉₉).

The spelling of 65679144 in words is "sixty-five million, six hundred seventy-nine thousand, one hundred forty-four".