65964500 has 96 divisors (see below), whose sum is σ = 168569856. Its totient is φ = 22080000.

The previous prime is 65964491. The next prime is 65964533. The reversal of 65964500 is 546956.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164300 + ... + 164700.

It is an arithmetic number, because the mean of its divisors is an integer number (1755936).

Almost surely, 2^65964500 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 65964500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84284928).

65964500 is an abundant number, since it is smaller than the sum of its proper divisors (102605356).

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

65964500 is a wasteful number, since it uses less digits than its factorization.

65964500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 462 counting only the distinct ones).

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

The square root of 65964500 is about 8121.8532367927. The cubic root of 65964500 is about 404.0515324913.

The spelling of 65964500 in words is "sixty-five million, nine hundred sixty-four thousand, five hundred".