65958960 has 40 divisors (see below), whose sum is σ = 204473520. Its totient is φ = 17588992.

The previous prime is 65958953. The next prime is 65958967. The reversal of 65958960 is 6985956.

It is an interprime number because it is at equal distance from previous prime (65958953) and next prime (65958967).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (65958967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137175 + ... + 137654.

It is an arithmetic number, because the mean of its divisors is an integer number (5111838).

Almost surely, 2^65958960 is an apocalyptic number.

65958960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

65958960 is an abundant number, since it is smaller than the sum of its proper divisors (138514560).

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

65958960 is a wasteful number, since it uses less digits than its factorization.

65958960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274845 (or 274839 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The square root of 65958960 is about 8121.5121744660. The cubic root of 65958960 is about 404.0402208102.

The spelling of 65958960 in words is "sixty-five million, nine hundred fifty-eight thousand, nine hundred sixty".