214035640 has 128 divisors (see below), whose sum is σ = 598671360. Its totient is φ = 67060224.

The previous prime is 214035637. The next prime is 214035659. The reversal of 214035640 is 46530412.

214035640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214035640² = 91622510380419200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 462049 + ... + 462511.

It is an arithmetic number, because the mean of its divisors is an integer number (4677120).

Almost surely, 2^214035640 is an apocalyptic number.

214035640 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 214035640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299335680).

214035640 is an abundant number, since it is smaller than the sum of its proper divisors (384635720).

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

214035640 is a wasteful number, since it uses less digits than its factorization.

214035640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 214035640 is about 14629.9569377357. The cubic root of 214035640 is about 598.1756064174.

The spelling of 214035640 in words is "two hundred fourteen million, thirty-five thousand, six hundred forty".