65294640 has 320 divisors, whose sum is σ = 248793600. Its totient is φ = 15676416.

The previous prime is 65294629. The next prime is 65294641. The reversal of 65294640 is 4649256.

65294640 is a `hidden beast` number, since 6 + 5 + 2 + 9 + 4 + 640 = 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 = 65294595 and 65294604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65294641) 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 63 ways as a sum of consecutive naturals, for example, 1518459 + ... + 1518501.

It is an arithmetic number, because the mean of its divisors is an integer number (777480).

Almost surely, 2^65294640 is an apocalyptic number.

65294640 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 65294640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124396800).

65294640 is an abundant number, since it is smaller than the sum of its proper divisors (183498960).

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

65294640 is a wasteful number, since it uses less digits than its factorization.

65294640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 65294640 is about 8080.5098849021. The cubic root of 65294640 is about 402.6791815670.

The spelling of 65294640 in words is "sixty-five million, two hundred ninety-four thousand, six hundred forty".