65006760 has 128 divisors (see below), whose sum is σ = 240065280. Its totient is φ = 13713408.

The previous prime is 65006737. The next prime is 65006789. The reversal of 65006760 is 6760056.

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7944 + ... + 13896.

It is an arithmetic number, because the mean of its divisors is an integer number (1875510).

Almost surely, 2^65006760 is an apocalyptic number.

65006760 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 65006760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120032640).

65006760 is an abundant number, since it is smaller than the sum of its proper divisors (175058520).

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

65006760 is a wasteful number, since it uses less digits than its factorization.

65006760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5987 (or 5983 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 65006760 is about 8062.6769748019. The cubic root of 65006760 is about 402.0865138917.

The spelling of 65006760 in words is "sixty-five million, six thousand, seven hundred sixty".