65953940 has 96 divisors (see below), whose sum is σ = 159936000. Its totient is φ = 22778496.

The previous prime is 65953939. The next prime is 65953963. The reversal of 65953940 is 4935956.

65953940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 834821 + ... + 834899.

It is an arithmetic number, because the mean of its divisors is an integer number (1666000).

Almost surely, 2^65953940 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 65953940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79968000).

65953940 is an abundant number, since it is smaller than the sum of its proper divisors (93982060).

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

65953940 is a wasteful number, since it uses less digits than its factorization.

65953940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 41.

The square root of 65953940 is about 8121.2031128399. The cubic root of 65953940 is about 404.0299703283.

The spelling of 65953940 in words is "sixty-five million, nine hundred fifty-three thousand, nine hundred forty".