64410624 has 132 divisors (see below), whose sum is σ = 193195860. Its totient is φ = 20643840.

The previous prime is 64410623. The next prime is 64410641. The reversal of 64410624 is 42601446.

64410624 is a `hidden beast` number, since 644 + 10 + 6 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41370624 + 23040000 = 6432^2 + 4800^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64410623) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 267144 + ... + 267384.

It is an arithmetic number, because the mean of its divisors is an integer number (1463605).

Almost surely, 2^64410624 is an apocalyptic number.

64410624 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 64410624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96597930).

64410624 is an abundant number, since it is smaller than the sum of its proper divisors (128785236).

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

64410624 is a wasteful number, since it uses less digits than its factorization.

64410624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 64410624 is about 8025.6229664743. The cubic root of 64410624 is about 400.8536436022.

The spelling of 64410624 in words is "sixty-four million, four hundred ten thousand, six hundred twenty-four".