214289520 has 80 divisors (see below), whose sum is σ = 668103072. Its totient is φ = 56816640.

The previous prime is 214289519. The next prime is 214289521. The reversal of 214289520 is 25982412.

214289520 = T₃₈₃ + T₃₈₄ + ... + T₁₁₀₂.

It is an interprime number because it is at equal distance from previous prime (214289519) and next prime (214289521).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214289521) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 40974 + ... + 45906.

Almost surely, 2^214289520 is an apocalyptic number.

214289520 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 214289520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334051536).

214289520 is an abundant number, since it is smaller than the sum of its proper divisors (453813552).

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

214289520 is a wasteful number, since it uses less digits than its factorization.

214289520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5130 (or 5124 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 214289520 is about 14638.6310835406. The cubic root of 214289520 is about 598.4120231458.

The spelling of 214289520 in words is "two hundred fourteen million, two hundred eighty-nine thousand, five hundred twenty".