65650464 has 288 divisors, whose sum is σ = 229267584. Its totient is φ = 17571840.

The previous prime is 65650463. The next prime is 65650489. The reversal of 65650464 is 46405656.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (65650463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1238662 + ... + 1238714.

It is an arithmetic number, because the mean of its divisors is an integer number (796068).

Almost surely, 2^65650464 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 65650464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114633792).

65650464 is an abundant number, since it is smaller than the sum of its proper divisors (163617120).

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

65650464 is a wasteful number, since it uses less digits than its factorization.

65650464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 65650464 is about 8102.4973927796. The cubic root of 65650464 is about 403.4093253592.

The spelling of 65650464 in words is "sixty-five million, six hundred fifty thousand, four hundred sixty-four".