64525824 has 240 divisors, whose sum is σ = 217039680. Its totient is φ = 18247680.

The previous prime is 64525823. The next prime is 64525831. The reversal of 64525824 is 42852546.

It is a happy number.

64525824 is a `hidden beast` number, since 645 + 2 + 5 + 8 + 2 + 4 = 666.

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 (64525823) 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, 963039 + ... + 963105.

It is an arithmetic number, because the mean of its divisors is an integer number (904332).

Almost surely, 2^64525824 is an apocalyptic number.

64525824 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 64525824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108519840).

64525824 is an abundant number, since it is smaller than the sum of its proper divisors (152513856).

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

64525824 is a wasteful number, since it uses less digits than its factorization.

64525824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 102 counting only the distinct ones).

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

The square root of 64525824 is about 8032.7967732291. The cubic root of 64525824 is about 401.0924801679.

The spelling of 64525824 in words is "sixty-four million, five hundred twenty-five thousand, eight hundred twenty-four".