65344800 has 144 divisors (see below), whose sum is σ = 224048160. Its totient is φ = 16496640.

The previous prime is 65344789. The next prime is 65344823. The reversal of 65344800 is 844356.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 44884 + ... + 46316.

It is an arithmetic number, because the mean of its divisors is an integer number (1555890).

Almost surely, 2^65344800 is an apocalyptic number.

65344800 is a gapful number since it is divisible by the number (60) 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 65344800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112024080).

65344800 is an abundant number, since it is smaller than the sum of its proper divisors (158703360).

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

65344800 is a wasteful number, since it uses less digits than its factorization.

65344800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 65344800 is about 8083.6130535794. The cubic root of 65344800 is about 402.7822692413.

It can be divided in two parts, 65 and 344800, that added together give a triangular number (344865 = T₈₃₀).

The spelling of 65344800 in words is "sixty-five million, three hundred forty-four thousand, eight hundred".