65700960 has 96 divisors (see below), whose sum is σ = 222899040. Its totient is φ = 16171008.

The previous prime is 65700959. The next prime is 65700961. The reversal of 65700960 is 6900756.

It is an interprime number because it is at equal distance from previous prime (65700959) and next prime (65700961).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×65700960² = 8633232289843200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65700961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 976 + ... + 11504.

It is an arithmetic number, because the mean of its divisors is an integer number (2321865).

Almost surely, 2^65700960 is an apocalyptic number.

65700960 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 65700960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111449520).

65700960 is an abundant number, since it is smaller than the sum of its proper divisors (157198080).

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

65700960 is a wasteful number, since it uses less digits than its factorization.

65700960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10560 (or 10552 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 65700960 is about 8105.6128701043. The cubic root of 65700960 is about 403.5127282169.

The spelling of 65700960 in words is "sixty-five million, seven hundred thousand, nine hundred sixty".