214290648 has 144 divisors (see below), whose sum is σ = 686008440. Its totient is φ = 59904000.

The previous prime is 214290623. The next prime is 214290653. The reversal of 214290648 is 846092412.

214290648 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 9 + 0 + 648 = 666.

214290648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×214290648³ (a number of 26 digits) contains 333 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133048 + ... + 134648.

Almost surely, 2^214290648 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 214290648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343004220).

214290648 is an abundant number, since it is smaller than the sum of its proper divisors (471717792).

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

214290648 is a wasteful number, since it uses less digits than its factorization.

214290648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1630 counting only the distinct ones).

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

The square root of 214290648 is about 14638.6696116826. The cubic root of 214290648 is about 598.4130731389.

The spelling of 214290648 in words is "two hundred fourteen million, two hundred ninety thousand, six hundred forty-eight".