65748240 has 160 divisors (see below), whose sum is σ = 230640000. Its totient is φ = 17210880.

The previous prime is 65748229. The next prime is 65748257. The reversal of 65748240 is 4284756.

65748240 is a `hidden beast` number, since 6 + 574 + 82 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 65748195 and 65748204.

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, 131511 + ... + 132009.

It is an arithmetic number, because the mean of its divisors is an integer number (1441500).

Almost surely, 2^65748240 is an apocalyptic number.

65748240 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 65748240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115320000).

65748240 is an abundant number, since it is smaller than the sum of its proper divisors (164891760).

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

65748240 is a wasteful number, since it uses less digits than its factorization.

65748240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 65748240 is about 8108.5288431379. The cubic root of 65748240 is about 403.6094975146.

The spelling of 65748240 in words is "sixty-five million, seven hundred forty-eight thousand, two hundred forty".