214800096 has 192 divisors, whose sum is σ = 678440448. Its totient is φ = 58226688.

The previous prime is 214800041. The next prime is 214800097. The reversal of 214800096 is 690008412.

214800096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214800096² = 92278162483218432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214800097) 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, 1317711 + ... + 1317873.

It is an arithmetic number, because the mean of its divisors is an integer number (3533544).

Almost surely, 2^214800096 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 214800096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339220224).

214800096 is an abundant number, since it is smaller than the sum of its proper divisors (463640352).

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

214800096 is a wasteful number, since it uses less digits than its factorization.

214800096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 214800096 is about 14656.0600435451. The cubic root of 214800096 is about 598.8869141211.

The spelling of 214800096 in words is "two hundred fourteen million, eight hundred thousand, ninety-six".