214744768 has 56 divisors (see below), whose sum is σ = 503834400. Its totient is φ = 88854528.

The previous prime is 214744759. The next prime is 214744787. The reversal of 214744768 is 867447412.

214744768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×214744768² = 92230630766747648, which contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4728 + ... + 21256.

Almost surely, 2^214744768 is an apocalyptic number.

214744768 is a gapful number since it is divisible by the number (28) 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 214744768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251917200).

214744768 is an abundant number, since it is smaller than the sum of its proper divisors (289089632).

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

214744768 is a wasteful number, since it uses less digits than its factorization.

214744768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16577 (or 16567 counting only the distinct ones).

The product of its digits is 301056, while the sum is 43.

The square root of 214744768 is about 14654.1723751292. The cubic root of 214744768 is about 598.8354894691.

It can be divided in two parts, 214744 and 768, that added together give a palindrome (215512).

The spelling of 214744768 in words is "two hundred fourteen million, seven hundred forty-four thousand, seven hundred sixty-eight".