65960640 has 168 divisors, whose sum is σ = 233385360. Its totient is φ = 17086464.

The previous prime is 65960627. The next prime is 65960641. The reversal of 65960640 is 4606956.

It is a happy number.

65960640 is a `hidden beast` number, since 6 + 5 + 9 + 6 + 0 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 65960595 and 65960604.

It is not an unprimeable number, because it can be changed into a prime (65960641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106251 + ... + 106869.

Almost surely, 2^65960640 is an apocalyptic number.

65960640 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 65960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116692680).

65960640 is an abundant number, since it is smaller than the sum of its proper divisors (167424720).

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

65960640 is a wasteful number, since it uses less digits than its factorization.

65960640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 65960640 is about 8121.6156028219. The cubic root of 65960640 is about 404.0436511342.

The spelling of 65960640 in words is "sixty-five million, nine hundred sixty thousand, six hundred forty".