214007640 has 512 divisors, whose sum is σ = 895795200. Its totient is φ = 39536640.

The previous prime is 214007623. The next prime is 214007683. The reversal of 214007640 is 46700412.

It is a Cunningham number, because it is equal to 14629²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 214007640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4037854 + ... + 4037906.

It is an arithmetic number, because the mean of its divisors is an integer number (1749600).

Almost surely, 2^214007640 is an apocalyptic number.

214007640 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 214007640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447897600).

214007640 is an abundant number, since it is smaller than the sum of its proper divisors (681787560).

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

214007640 is a wasteful number, since it uses less digits than its factorization.

214007640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 214007640 is about 14628.9999658213. Note that the first 4 decimals coincide. The cubic root of 214007640 is about 598.1495209683.

The spelling of 214007640 in words is "two hundred fourteen million, seven thousand, six hundred forty".