214636896 has 72 divisors (see below), whose sum is σ = 612559584. Its totient is φ = 71289600.

The previous prime is 214636879. The next prime is 214636907. The reversal of 214636896 is 698636412.

214636896 is a `hidden beast` number, since 2 + 1 + 4 + 636 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90121 + ... + 92471.

It is an arithmetic number, because the mean of its divisors is an integer number (8507772).

Almost surely, 2^214636896 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 214636896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306279792).

214636896 is an abundant number, since it is smaller than the sum of its proper divisors (397922688).

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

214636896 is a wasteful number, since it uses less digits than its factorization.

214636896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2684 (or 2673 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 214636896 is about 14650.4913228192. The cubic root of 214636896 is about 598.7352023516.

The spelling of 214636896 in words is "two hundred fourteen million, six hundred thirty-six thousand, eight hundred ninety-six".