214294860 has 144 divisors (see below), whose sum is σ = 741345696. Its totient is φ = 49637376.

The previous prime is 214294859. The next prime is 214294879. The reversal of 214294860 is 68492412.

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

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, 37087 + ... + 42473.

It is an arithmetic number, because the mean of its divisors is an integer number (5148234).

Almost surely, 2^214294860 is an apocalyptic number.

214294860 is a gapful number since it is divisible by the number (20) 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 214294860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370672848).

214294860 is an abundant number, since it is smaller than the sum of its proper divisors (527050836).

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

214294860 is a wasteful number, since it uses less digits than its factorization.

214294860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5432 (or 5427 counting only the distinct ones).

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

The square root of 214294860 is about 14638.8134765083. The cubic root of 214294860 is about 598.4169938254.

The spelling of 214294860 in words is "two hundred fourteen million, two hundred ninety-four thousand, eight hundred sixty".