214140080 has 80 divisors (see below), whose sum is σ = 620745984. Its totient is φ = 66743040.

The previous prime is 214140077. The next prime is 214140139. The reversal of 214140080 is 80041412.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11222 + ... + 23541.

Almost surely, 2^214140080 is an apocalyptic number.

214140080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214140080 is an abundant number, since it is smaller than the sum of its proper divisors (406605904).

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

214140080 is a wasteful number, since it uses less digits than its factorization.

214140080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34794 (or 34788 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 214140080 is about 14633.5258909123. The cubic root of 214140080 is about 598.2728850788.

Adding to 214140080 its reverse (80041412), we get a palindrome (294181492).

The spelling of 214140080 in words is "two hundred fourteen million, one hundred forty thousand, eighty".