214565340 has 96 divisors (see below), whose sum is σ = 669441024. Its totient is φ = 50901760.

The previous prime is 214565339. The next prime is 214565369. The reversal of 214565340 is 43565412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 214565298 and 214565307.

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, 27562 + ... + 34478.

It is an arithmetic number, because the mean of its divisors is an integer number (6973344).

Almost surely, 2^214565340 is an apocalyptic number.

214565340 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 214565340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334720512).

214565340 is an abundant number, since it is smaller than the sum of its proper divisors (454875684).

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

214565340 is a wasteful number, since it uses less digits than its factorization.

214565340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6987 (or 6985 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 214565340 is about 14648.0490168486. The cubic root of 214565340 is about 598.6686591821.

It can be divided in two parts, 21456 and 5340, that added together give a triangular number (26796 = T₂₃₁).

The spelling of 214565340 in words is "two hundred fourteen million, five hundred sixty-five thousand, three hundred forty".