213786048 has 112 divisors (see below), whose sum is σ = 655604480. Its totient is φ = 60217344.

The previous prime is 213786017. The next prime is 213786059. The reversal of 213786048 is 840687312.

213786048 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 (112).

It is a junction number, because it is equal to n+sod(n) for n = 213785997 and 213786015.

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, 97023 + ... + 99201.

Almost surely, 2^213786048 is an apocalyptic number.

213786048 is a gapful number since it is divisible by the number (28) 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 213786048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327802240).

213786048 is an abundant number, since it is smaller than the sum of its proper divisors (441818432).

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

213786048 is a wasteful number, since it uses less digits than its factorization.

213786048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 213786048 is about 14621.4242808285. The cubic root of 213786048 is about 597.9430004246.

The spelling of 213786048 in words is "two hundred thirteen million, seven hundred eighty-six thousand, forty-eight".