214824096 has 48 divisors (see below), whose sum is σ = 626572800. Its totient is φ = 71607744.

The previous prime is 214824073. The next prime is 214824101. The reversal of 214824096 is 690428412.

214824096 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 (48).

It is a super-2 number, since 2×214824096² = 92298784444434432, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 214824096.

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, 123456 + ... + 125183.

It is an arithmetic number, because the mean of its divisors is an integer number (13053600).

Almost surely, 2^214824096 is an apocalyptic number.

It is an amenable number.

214824096 is an abundant number, since it is smaller than the sum of its proper divisors (411748704).

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

214824096 is a wasteful number, since it uses less digits than its factorization.

214824096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248658 (or 248644 counting only the distinct ones).

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

The square root of 214824096 is about 14656.8787946138. The cubic root of 214824096 is about 598.9092181934.

It can be divided in two parts, 2148 and 24096, that added together give a square (26244 = 162²).

The spelling of 214824096 in words is "two hundred fourteen million, eight hundred twenty-four thousand, ninety-six".