214563960 has 288 divisors, whose sum is σ = 798819840. Its totient is φ = 49641984.

The previous prime is 214563911. The next prime is 214563967. The reversal of 214563960 is 69365412.

It is a happy number.

214563960 is a `hidden beast` number, since 2 + 1 + 4 + 563 + 96 + 0 = 666.

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 (214563967) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1689417 + ... + 1689543.

It is an arithmetic number, because the mean of its divisors is an integer number (2773680).

Almost surely, 2^214563960 is an apocalyptic number.

214563960 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 214563960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399409920).

214563960 is an abundant number, since it is smaller than the sum of its proper divisors (584255880).

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

214563960 is a wasteful number, since it uses less digits than its factorization.

214563960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 214563960 is about 14648.0019115236. The cubic root of 214563960 is about 598.6673757121.

The spelling of 214563960 in words is "two hundred fourteen million, five hundred sixty-three thousand, nine hundred sixty".