65314560 has 144 divisors (see below), whose sum is σ = 212363424. Its totient is φ = 17104896.

The previous prime is 65314559. The next prime is 65314567. The reversal of 65314560 is 6541356.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65314567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280204 + ... + 280436.

It is an arithmetic number, because the mean of its divisors is an integer number (1474746).

Almost surely, 2^65314560 is an apocalyptic number.

65314560 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 65314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106181712).

65314560 is an abundant number, since it is smaller than the sum of its proper divisors (147048864).

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

65314560 is a wasteful number, since it uses less digits than its factorization.

65314560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 65314560 is about 8081.7423863917. The cubic root of 65314560 is about 402.7201270092.

The spelling of 65314560 in words is "sixty-five million, three hundred fourteen thousand, five hundred sixty".