64311408 has 240 divisors, whose sum is σ = 227485440. Its totient is φ = 17169408.

The previous prime is 64311397. The next prime is 64311413. The reversal of 64311408 is 80411346.

64311408 is a `hidden beast` number, since 643 + 1 + 14 + 0 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 462603 + ... + 462741.

It is an arithmetic number, because the mean of its divisors is an integer number (947856).

Almost surely, 2^64311408 is an apocalyptic number.

64311408 is a gapful number since it is divisible by the number (68) 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 64311408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113742720).

64311408 is an abundant number, since it is smaller than the sum of its proper divisors (163174032).

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

64311408 is a wasteful number, since it uses less digits than its factorization.

64311408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 64311408 is about 8019.4393819020. The cubic root of 64311408 is about 400.6477172564.

The spelling of 64311408 in words is "sixty-four million, three hundred eleven thousand, four hundred eight".