214768496 has 80 divisors (see below), whose sum is σ = 449971200. Its totient is φ = 99110400.

The previous prime is 214768471. The next prime is 214768501. The reversal of 214768496 is 694867412.

214768496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214768496² = 92251013748204032, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 214768496.

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, 1199735 + ... + 1199913.

It is an arithmetic number, because the mean of its divisors is an integer number (5624640).

Almost surely, 2^214768496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214768496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224985600).

214768496 is an abundant number, since it is smaller than the sum of its proper divisors (235202704).

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

214768496 is a wasteful number, since it uses less digits than its factorization.

214768496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 312 counting only the distinct ones).

The product of its digits is 580608, while the sum is 47.

The square root of 214768496 is about 14654.9819515413. The cubic root of 214768496 is about 598.8575445585.

The spelling of 214768496 in words is "two hundred fourteen million, seven hundred sixty-eight thousand, four hundred ninety-six".