65468000 has 96 divisors (see below), whose sum is σ = 173365920. Its totient is φ = 24153600.

The previous prime is 65467999. The next prime is 65468017. The reversal of 65468000 is 86456.

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, 51371 + ... + 52629.

It is an arithmetic number, because the mean of its divisors is an integer number (1805895).

Almost surely, 2^65468000 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 65468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86682960).

65468000 is an abundant number, since it is smaller than the sum of its proper divisors (107897920).

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

65468000 is a wasteful number, since it uses less digits than its factorization.

65468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 65468000 is about 8091.2298199965. The cubic root of 65468000 is about 403.0352433224.

The spelling of 65468000 in words is "sixty-five million, four hundred sixty-eight thousand".