65830464 has 168 divisors, whose sum is σ = 223479360. Its totient is φ = 18127872.

The previous prime is 65830447. The next prime is 65830469. The reversal of 65830464 is 46403856.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65830469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116647 + ... + 117209.

Almost surely, 2^65830464 is an apocalyptic number.

65830464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65830464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111739680).

65830464 is an abundant number, since it is smaller than the sum of its proper divisors (157648896).

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

65830464 is a wasteful number, since it uses less digits than its factorization.

65830464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 65830464 is about 8113.5974758426. The cubic root of 65830464 is about 403.7776772395. Note that the first 3 decimals are identical.

The spelling of 65830464 in words is "sixty-five million, eight hundred thirty thousand, four hundred sixty-four".