214798320 has 240 divisors, whose sum is σ = 809314272. Its totient is φ = 50595840.

The previous prime is 214798307. The next prime is 214798321. The reversal of 214798320 is 23897412.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×214798320² = 92276636549644800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214798321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292674 + ... + 293406.

Almost surely, 2^214798320 is an apocalyptic number.

214798320 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 214798320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404657136).

214798320 is an abundant number, since it is smaller than the sum of its proper divisors (594515952).

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

214798320 is a wasteful number, since it uses less digits than its factorization.

214798320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 214798320 is about 14655.9994541485. Note that the first 3 decimals coincide. The cubic root of 214798320 is about 598.8852635537.

The spelling of 214798320 in words is "two hundred fourteen million, seven hundred ninety-eight thousand, three hundred twenty".