214262064 has 80 divisors (see below), whose sum is σ = 630063840. Its totient is φ = 69672960.

The previous prime is 214262053. The next prime is 214262119. The reversal of 214262064 is 460262412.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11664 + ... + 23760.

It is an arithmetic number, because the mean of its divisors is an integer number (7875798).

Almost surely, 2^214262064 is an apocalyptic number.

214262064 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 214262064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315031920).

214262064 is an abundant number, since it is smaller than the sum of its proper divisors (415801776).

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

214262064 is a wasteful number, since it uses less digits than its factorization.

214262064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12155 (or 12143 counting only the distinct ones).

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

The square root of 214262064 is about 14637.6932608933. The cubic root of 214262064 is about 598.3864647295.

The spelling of 214262064 in words is "two hundred fourteen million, two hundred sixty-two thousand, sixty-four".