65686940 has 48 divisors (see below), whose sum is σ = 151732224. Its totient is φ = 23688000.

The previous prime is 65686931. The next prime is 65686967. The reversal of 65686940 is 4968656.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 65686891 and 65686900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26765 + ... + 29115.

It is an arithmetic number, because the mean of its divisors is an integer number (3161088).

Almost surely, 2^65686940 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 65686940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75866112).

65686940 is an abundant number, since it is smaller than the sum of its proper divisors (86045284).

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

65686940 is a wasteful number, since it uses less digits than its factorization.

65686940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2498 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The square root of 65686940 is about 8104.7479911469. The cubic root of 65686940 is about 403.4840241670.

The spelling of 65686940 in words is "sixty-five million, six hundred eighty-six thousand, nine hundred forty".