65950640 has 160 divisors (see below), whose sum is σ = 188559360. Its totient is φ = 20966400.

The previous prime is 65950631. The next prime is 65950649. The reversal of 65950640 is 4605956.

It is a happy number.

It is a Cunningham number, because it is equal to 8121²-1.

It is an interprime number because it is at equal distance from previous prime (65950631) and next prime (65950649).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 65950640.

It is not an unprimeable number, because it can be changed into a prime (65950649) 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, 503375 + ... + 503505.

It is an arithmetic number, because the mean of its divisors is an integer number (1178496).

Almost surely, 2^65950640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65950640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94279680).

65950640 is an abundant number, since it is smaller than the sum of its proper divisors (122608720).

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

65950640 is a wasteful number, since it uses less digits than its factorization.

65950640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 65950640 is about 8120.9999384312. Note that the first 4 decimals coincide. The cubic root of 65950640 is about 404.0232316804.

The spelling of 65950640 in words is "sixty-five million, nine hundred fifty thousand, six hundred forty".