65212560 has 320 divisors, whose sum is σ = 271411200. Its totient is φ = 14059008.

The previous prime is 65212549. The next prime is 65212573. The reversal of 65212560 is 6521256.

65212560 is a `hidden beast` number, since 652 + 1 + 2 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 287167 + ... + 287393.

It is an arithmetic number, because the mean of its divisors is an integer number (848160).

Almost surely, 2^65212560 is an apocalyptic number.

65212560 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 65212560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135705600).

65212560 is an abundant number, since it is smaller than the sum of its proper divisors (206198640).

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

65212560 is a wasteful number, since it uses less digits than its factorization.

65212560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 65212560 is about 8075.4294003477. The cubic root of 65212560 is about 402.5103787044.

The spelling of 65212560 in words is "sixty-five million, two hundred twelve thousand, five hundred sixty".