65973960 has 256 divisors, whose sum is σ = 245145600. Its totient is φ = 15676416.

The previous prime is 65973937. The next prime is 65973967. The reversal of 65973960 is 6937956.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65973967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 519417 + ... + 519543.

It is an arithmetic number, because the mean of its divisors is an integer number (957600).

Almost surely, 2^65973960 is an apocalyptic number.

65973960 is a gapful number since it is divisible by the number (60) 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 65973960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122572800).

65973960 is an abundant number, since it is smaller than the sum of its proper divisors (179171640).

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

65973960 is a wasteful number, since it uses less digits than its factorization.

65973960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 65973960 is about 8122.4355953125. The cubic root of 65973960 is about 404.0708466415.

The spelling of 65973960 in words is "sixty-five million, nine hundred seventy-three thousand, nine hundred sixty".