65342144 has 56 divisors (see below), whose sum is σ = 149291040. Its totient is φ = 27795456.

The previous prime is 65342143. The next prime is 65342161. The reversal of 65342144 is 44124356.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (65342143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69872 + ... + 70800.

Almost surely, 2^65342144 is an apocalyptic number.

65342144 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 65342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74645520).

65342144 is an abundant number, since it is smaller than the sum of its proper divisors (83948896).

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

65342144 is a wasteful number, since it uses less digits than its factorization.

65342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1095 counting only the distinct ones).

The product of its digits is 11520, while the sum is 29.

The square root of 65342144 is about 8083.4487689352. The cubic root of 65342144 is about 402.7768120144.

The spelling of 65342144 in words is "sixty-five million, three hundred forty-two thousand, one hundred forty-four".