214209648 has 120 divisors (see below), whose sum is σ = 642220800. Its totient is φ = 66448512.

The previous prime is 214209607. The next prime is 214209683. The reversal of 214209648 is 846902412.

214209648 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 0 + 9 + 648 = 666.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 160761 + ... + 162087.

It is an arithmetic number, because the mean of its divisors is an integer number (5351840).

Almost surely, 2^214209648 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 214209648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321110400).

214209648 is an abundant number, since it is smaller than the sum of its proper divisors (428011152).

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

214209648 is a wasteful number, since it uses less digits than its factorization.

214209648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1410 counting only the distinct ones).

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

The square root of 214209648 is about 14635.9027053339. The cubic root of 214209648 is about 598.3376653257.

The spelling of 214209648 in words is "two hundred fourteen million, two hundred nine thousand, six hundred forty-eight".