65193504 has 96 divisors (see below), whose sum is σ = 185613120. Its totient is φ = 19955712.

The previous prime is 65193497. The next prime is 65193509. The reversal of 65193504 is 40539156.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (65193509) 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 15 ways as a sum of consecutive naturals, for example, 69712 + ... + 70640.

It is an arithmetic number, because the mean of its divisors is an integer number (1933470).

Almost surely, 2^65193504 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 65193504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92806560).

65193504 is an abundant number, since it is smaller than the sum of its proper divisors (120419616).

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

65193504 is a wasteful number, since it uses less digits than its factorization.

65193504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 65193504 is about 8074.2494388023. The cubic root of 65193504 is about 402.4711685430.

The spelling of 65193504 in words is "sixty-five million, one hundred ninety-three thousand, five hundred four".