65245824 has 320 divisors, whose sum is σ = 236966400. Its totient is φ = 17418240.

The previous prime is 65245787. The next prime is 65245841. The reversal of 65245824 is 42854256.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2104689 + ... + 2104719.

It is an arithmetic number, because the mean of its divisors is an integer number (740520).

Almost surely, 2^65245824 is an apocalyptic number.

65245824 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 65245824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118483200).

65245824 is an abundant number, since it is smaller than the sum of its proper divisors (171720576).

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

65245824 is a wasteful number, since it uses less digits than its factorization.

65245824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 72 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 65245824 is about 8077.4887186551. The cubic root of 65245824 is about 402.5788053457.

The spelling of 65245824 in words is "sixty-five million, two hundred forty-five thousand, eight hundred twenty-four".