64813320 has 192 divisors, whose sum is σ = 247665600. Its totient is φ = 14492160.

The previous prime is 64813319. The next prime is 64813327. The reversal of 64813320 is 2331846.

It is a happy number.

64813320 is a `hidden beast` number, since 648 + 13 + 3 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (64813327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50851 + ... + 52109.

It is an arithmetic number, because the mean of its divisors is an integer number (1289925).

Almost surely, 2^64813320 is an apocalyptic number.

64813320 is a gapful number since it is divisible by the number (60) 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 64813320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123832800).

64813320 is an abundant number, since it is smaller than the sum of its proper divisors (182852280).

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

64813320 is a wasteful number, since it uses less digits than its factorization.

64813320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 64813320 is about 8050.6720216389. The cubic root of 64813320 is about 401.6872892962.

It can be divided in two parts, 6481 and 3320, that added together give a square (9801 = 99²).

The spelling of 64813320 in words is "sixty-four million, eight hundred thirteen thousand, three hundred twenty".