65790144 has 280 divisors, whose sum is σ = 233578400. Its totient is φ = 18289152.

The previous prime is 65790139. The next prime is 65790157. The reversal of 65790144 is 44109756.

65790144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 65790099 and 65790108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1778094 + ... + 1778130.

Almost surely, 2^65790144 is an apocalyptic number.

65790144 is a gapful number since it is divisible by the number (64) 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 65790144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116789200).

65790144 is an abundant number, since it is smaller than the sum of its proper divisors (167788256).

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

65790144 is an equidigital number, since it uses as much as digits as its factorization.

65790144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 65790144 is about 8111.1123774733. The cubic root of 65790144 is about 403.6952248312.

The spelling of 65790144 in words is "sixty-five million, seven hundred ninety thousand, one hundred forty-four".