65327760 has 120 divisors (see below), whose sum is σ = 224844984. Its totient is φ = 16988160.

The previous prime is 65327737. The next prime is 65327777. The reversal of 65327760 is 6772356.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9437184 + 55890576 = 3072^2 + 7476^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28414 + ... + 30626.

Almost surely, 2^65327760 is an apocalyptic number.

65327760 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 65327760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112422492).

65327760 is an abundant number, since it is smaller than the sum of its proper divisors (159517224).

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

65327760 is a wasteful number, since it uses less digits than its factorization.

65327760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 65327760 is about 8082.5590007126. The cubic root of 65327760 is about 402.7472549451.

The spelling of 65327760 in words is "sixty-five million, three hundred twenty-seven thousand, seven hundred sixty".