65724960 has 192 divisors, whose sum is σ = 244629504. Its totient is φ = 14515200.

The previous prime is 65724959. The next prime is 65724973. The reversal of 65724960 is 6942756.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103845 + ... + 104475.

It is an arithmetic number, because the mean of its divisors is an integer number (1274112).

Almost surely, 2^65724960 is an apocalyptic number.

65724960 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 65724960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122314752).

65724960 is an abundant number, since it is smaller than the sum of its proper divisors (178904544).

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

65724960 is a wasteful number, since it uses less digits than its factorization.

65724960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 65724960 is about 8107.0931905338. The cubic root of 65724960 is about 403.5618554875.

The spelling of 65724960 in words is "sixty-five million, seven hundred twenty-four thousand, nine hundred sixty".