214842768 has 80 divisors (see below), whose sum is σ = 636923520. Its totient is φ = 61129728.

The previous prime is 214842767. The next prime is 214842769. The reversal of 214842768 is 867248412.

214842768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214842767) and next prime (214842769).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (214842763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89196 + ... + 91572.

It is an arithmetic number, because the mean of its divisors is an integer number (7961544).

Almost surely, 2^214842768 is an apocalyptic number.

214842768 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 214842768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318461760).

214842768 is an abundant number, since it is smaller than the sum of its proper divisors (422080752).

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

214842768 is a wasteful number, since it uses less digits than its factorization.

214842768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664 (or 2658 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 214842768 is about 14657.5157513134. The cubic root of 214842768 is about 598.9265696128.

The spelling of 214842768 in words is "two hundred fourteen million, eight hundred forty-two thousand, seven hundred sixty-eight".