64810368 has 320 divisors, whose sum is σ = 236966400. Its totient is φ = 17169408.

The previous prime is 64810363. The next prime is 64810393. The reversal of 64810368 is 86301846.

It is a happy number.

64810368 is a `hidden beast` number, since 648 + 1 + 0 + 3 + 6 + 8 = 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 (64810363) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1378921 + ... + 1378967.

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

Almost surely, 2^64810368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64810368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118483200).

64810368 is an abundant number, since it is smaller than the sum of its proper divisors (172156032).

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

64810368 is a wasteful number, since it uses less digits than its factorization.

64810368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 64810368 is about 8050.4886808193. The cubic root of 64810368 is about 401.6811907613.

It can be divided in two parts, 648 and 10368, that multiplied together give a square (6718464 = 2592²).

The spelling of 64810368 in words is "sixty-four million, eight hundred ten thousand, three hundred sixty-eight".