214392096 has 144 divisors (see below), whose sum is σ = 642096000. Its totient is φ = 70357248.

The previous prime is 214392047. The next prime is 214392103. The reversal of 214392096 is 690293412.

It is a tau number, because it is divible by the number of its divisors (144).

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 214392096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 614130 + ... + 614478.

It is an arithmetic number, because the mean of its divisors is an integer number (4459000).

Almost surely, 2^214392096 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 214392096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321048000).

214392096 is an abundant number, since it is smaller than the sum of its proper divisors (427703904).

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

214392096 is an equidigital number, since it uses as much as digits as its factorization.

214392096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 214392096 is about 14642.1342706588. The cubic root of 214392096 is about 598.5074904371.

The spelling of 214392096 in words is "two hundred fourteen million, three hundred ninety-two thousand, ninety-six".