65964444 has 96 divisors (see below), whose sum is σ = 196062720. Its totient is φ = 16789248.

The previous prime is 65964443. The next prime is 65964463. The reversal of 65964444 is 44446956.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 65964396 and 65964405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65964443) 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, 30627 + ... + 32709.

It is an arithmetic number, because the mean of its divisors is an integer number (2042320).

Almost surely, 2^65964444 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 65964444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98031360).

65964444 is an abundant number, since it is smaller than the sum of its proper divisors (130098276).

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

65964444 is a wasteful number, since it uses less digits than its factorization.

65964444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2137 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 65964444 is about 8121.8497893029. The cubic root of 65964444 is about 404.0514181525.

The spelling of 65964444 in words is "sixty-five million, nine hundred sixty-four thousand, four hundred forty-four".