65981760 has 224 divisors, whose sum is σ = 239645952. Its totient is φ = 15237120.

The previous prime is 65981759. The next prime is 65981761. The reversal of 65981760 is 6718956.

It is an interprime number because it is at equal distance from previous prime (65981759) and next prime (65981761).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65981761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212005 + ... + 212315.

It is an arithmetic number, because the mean of its divisors is an integer number (1069848).

Almost surely, 2^65981760 is an apocalyptic number.

65981760 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 65981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119822976).

65981760 is an abundant number, since it is smaller than the sum of its proper divisors (173664192).

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

65981760 is a wasteful number, since it uses less digits than its factorization.

65981760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 65981760 is about 8122.9157326664. The cubic root of 65981760 is about 404.0867702393.

The spelling of 65981760 in words is "sixty-five million, nine hundred eighty-one thousand, seven hundred sixty".