64641024 has 192 divisors, whose sum is σ = 220147200. Its totient is φ = 18358272.

The previous prime is 64641023. The next prime is 64641043. The reversal of 64641024 is 42014646.

64641024 is a `hidden beast` number, since 646 + 4 + 10 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64641023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386989 + ... + 387155.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 2^64641024 is an apocalyptic number.

64641024 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 64641024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110073600).

64641024 is an abundant number, since it is smaller than the sum of its proper divisors (155506176).

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

64641024 is a wasteful number, since it uses less digits than its factorization.

64641024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 179 counting only the distinct ones).

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

The square root of 64641024 is about 8039.9641790247. The cubic root of 64641024 is about 401.3310326342.

64641024 divided by its product of nonzero digits (4608) gives a triangular number (14028 = T₁₆₇).

The spelling of 64641024 in words is "sixty-four million, six hundred forty-one thousand, twenty-four".