214803840 has 128 divisors (see below), whose sum is σ = 725073120. Its totient is φ = 53903360.

The previous prime is 214803839. The next prime is 214803931. The reversal of 214803840 is 48308412.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×214803840² = 92281379357491200, which contains 22 as substring.

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 = 214803798 and 214803807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29350 + ... + 35930.

Almost surely, 2^214803840 is an apocalyptic number.

214803840 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 214803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362536560).

214803840 is an abundant number, since it is smaller than the sum of its proper divisors (510269280).

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

214803840 is a wasteful number, since it uses less digits than its factorization.

214803840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6620 (or 6608 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 214803840 is about 14656.1877717229. The cubic root of 214803840 is about 598.8903936657.

The spelling of 214803840 in words is "two hundred fourteen million, eight hundred three thousand, eight hundred forty".