214325760 has 320 divisors, whose sum is σ = 777807360. Its totient is φ = 49889280.

The previous prime is 214325743. The next prime is 214325767. The reversal of 214325760 is 67523412.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (214325767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3632611 + ... + 3632669.

It is an arithmetic number, because the mean of its divisors is an integer number (2430648).

Almost surely, 2^214325760 is an apocalyptic number.

214325760 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 214325760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388903680).

214325760 is an abundant number, since it is smaller than the sum of its proper divisors (563481600).

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

214325760 is a wasteful number, since it uses less digits than its factorization.

214325760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 214325760 is about 14639.8688518716. The cubic root of 214325760 is about 598.4457551257.

The spelling of 214325760 in words is "two hundred fourteen million, three hundred twenty-five thousand, seven hundred sixty".