65468500 has 48 divisors (see below), whose sum is σ = 144248832. Its totient is φ = 25956000.

The previous prime is 65468483. The next prime is 65468521. The reversal of 65468500 is 586456.

It is a super-2 number, since 2×65468500² = 8572248984500000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

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, 62985 + ... + 64015.

It is an arithmetic number, because the mean of its divisors is an integer number (3005184).

Almost surely, 2^65468500 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 65468500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72124416).

65468500 is an abundant number, since it is smaller than the sum of its proper divisors (78780332).

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

65468500 is a wasteful number, since it uses less digits than its factorization.

65468500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 65468500 is about 8091.2607175891. The cubic root of 65468500 is about 403.0362693561.

The spelling of 65468500 in words is "sixty-five million, four hundred sixty-eight thousand, five hundred".