65964096 has 168 divisors, whose sum is σ = 213969600. Its totient is φ = 19246080.

The previous prime is 65964091. The next prime is 65964103. The reversal of 65964096 is 69046956.

It is a super-2 number, since 2×65964096² = 8702523922194432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (65964091) 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 23 ways as a sum of consecutive naturals, for example, 183565 + ... + 183923.

Almost surely, 2^65964096 is an apocalyptic number.

65964096 is a gapful number since it is divisible by the number (66) 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 65964096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106984800).

65964096 is an abundant number, since it is smaller than the sum of its proper divisors (148005504).

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

65964096 is a wasteful number, since it uses less digits than its factorization.

65964096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 65964096 is about 8121.8283655837. The cubic root of 65964096 is about 404.0507076175.

The spelling of 65964096 in words is "sixty-five million, nine hundred sixty-four thousand, ninety-six".