214436640 has 192 divisors, whose sum is σ = 780554880. Its totient is φ = 48906240.

The previous prime is 214436591. The next prime is 214436669. The reversal of 214436640 is 46634412.

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 = 214436598 and 214436607.

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, 88566 + ... + 90954.

It is an arithmetic number, because the mean of its divisors is an integer number (4065390).

Almost surely, 2^214436640 is an apocalyptic number.

214436640 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 214436640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390277440).

214436640 is an abundant number, since it is smaller than the sum of its proper divisors (566118240).

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

214436640 is a wasteful number, since it uses less digits than its factorization.

214436640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 214436640 is about 14643.6552813838. The cubic root of 214436640 is about 598.5489379718.

The spelling of 214436640 in words is "two hundred fourteen million, four hundred thirty-six thousand, six hundred forty".