214856064 has 320 divisors, whose sum is σ = 719785440. Its totient is φ = 63258624.

The previous prime is 214856051. The next prime is 214856101. The reversal of 214856064 is 460658412.

214856064 is a `hidden beast` number, since 2 + 1 + 48 + 5 + 606 + 4 = 666.

214856064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4053862 + ... + 4053914.

Almost surely, 2^214856064 is an apocalyptic number.

214856064 is a gapful number since it is divisible by the number (24) 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 214856064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359892720).

214856064 is an abundant number, since it is smaller than the sum of its proper divisors (504929376).

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

214856064 is a wasteful number, since it uses less digits than its factorization.

214856064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 214856064 is about 14657.9693000088. The cubic root of 214856064 is about 598.9389246379.

The spelling of 214856064 in words is "two hundred fourteen million, eight hundred fifty-six thousand, sixty-four".