65213280 has 288 divisors, whose sum is σ = 254741760. Its totient is φ = 15037440.

The previous prime is 65213273. The next prime is 65213293. The reversal of 65213280 is 8231256.

65213280 is a `hidden beast` number, since 652 + 1 + 3 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364231 + ... + 364409.

It is an arithmetic number, because the mean of its divisors is an integer number (884520).

Almost surely, 2^65213280 is an apocalyptic number.

65213280 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 65213280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127370880).

65213280 is an abundant number, since it is smaller than the sum of its proper divisors (189528480).

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

65213280 is a wasteful number, since it uses less digits than its factorization.

65213280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 65213280 is about 8075.4739798974. The cubic root of 65213280 is about 402.5118600469.

It can be divided in two parts, 6521 and 3280, that added together give a square (9801 = 99²).

The spelling of 65213280 in words is "sixty-five million, two hundred thirteen thousand, two hundred eighty".