214023040 has 256 divisors, whose sum is σ = 659197440. Its totient is φ = 64512000.

The previous prime is 214023037. The next prime is 214023077. The reversal of 214023040 is 40320412.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 2118990 + ... + 2119090.

It is an arithmetic number, because the mean of its divisors is an integer number (2574990).

Almost surely, 2^214023040 is an apocalyptic number.

214023040 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 214023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329598720).

214023040 is an abundant number, since it is smaller than the sum of its proper divisors (445174400).

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

214023040 is a wasteful number, since it uses less digits than its factorization.

214023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 214023040 is about 14629.5263081208. The cubic root of 214023040 is about 598.1638682469.

Adding to 214023040 its reverse (40320412), we get a palindrome (254343452).

It can be divided in two parts, 21402 and 3040, that added together give a palindrome (24442).

The spelling of 214023040 in words is "two hundred fourteen million, twenty-three thousand, forty".