214040160 has 72 divisors (see below), whose sum is σ = 730416960. Its totient is φ = 57076992.

The previous prime is 214040159. The next prime is 214040171. The reversal of 214040160 is 61040412.

214040160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72880 + ... + 75759.

It is an arithmetic number, because the mean of its divisors is an integer number (10144680).

Almost surely, 2^214040160 is an apocalyptic number.

214040160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214040160 is an abundant number, since it is smaller than the sum of its proper divisors (516376800).

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

214040160 is a wasteful number, since it uses less digits than its factorization.

214040160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148660 (or 148649 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 214040160 is about 14630.1114144767. Note that the first 3 decimals coincide. The cubic root of 214040160 is about 598.1798171410.

Adding to 214040160 its reverse (61040412), we get a palindrome (275080572).

The spelling of 214040160 in words is "two hundred fourteen million, forty thousand, one hundred sixty".