214820874 has 96 divisors (see below), whose sum is σ = 520401024. Its totient is φ = 63697920.

The previous prime is 214820867. The next prime is 214820909. The reversal of 214820874 is 478028412.

It is a super-2 number, since 2×214820874² = 92296015812247752, which contains 22 as substring.

It is a Curzon 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 47 ways as a sum of consecutive naturals, for example, 921862 + ... + 922094.

It is an arithmetic number, because the mean of its divisors is an integer number (5420844).

Almost surely, 2^214820874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214820874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260200512).

214820874 is an abundant number, since it is smaller than the sum of its proper divisors (305580150).

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

214820874 is a wasteful number, since it uses less digits than its factorization.

214820874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 214820874 is about 14656.7688799408. The cubic root of 214820874 is about 598.9062239683.

The spelling of 214820874 in words is "two hundred fourteen million, eight hundred twenty thousand, eight hundred seventy-four".