214096824 has 64 divisors (see below), whose sum is σ = 604500000. Its totient is φ = 70191360.

The previous prime is 214096823. The next prime is 214096867. The reversal of 214096824 is 428690412.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214096823) 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, 5052 + ... + 21300.

Almost surely, 2^214096824 is an apocalyptic number.

214096824 is a gapful number since it is divisible by the number (24) 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 214096824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302250000).

214096824 is an abundant number, since it is smaller than the sum of its proper divisors (390403176).

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

214096824 is a wasteful number, since it uses less digits than its factorization.

214096824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16325 (or 16315 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 214096824 is about 14632.0478402717. The cubic root of 214096824 is about 598.2325989343.

The spelling of 214096824 in words is "two hundred fourteen million, ninety-six thousand, eight hundred twenty-four".