216726048 has 288 divisors, whose sum is σ = 797247360. Its totient is φ = 54190080.

The previous prime is 216726043. The next prime is 216726061. The reversal of 216726048 is 840627612.

216726048 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 (288).

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 (216726043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 642936 + ... + 643272.

It is an arithmetic number, because the mean of its divisors is an integer number (2768220).

Almost surely, 2^216726048 is an apocalyptic number.

216726048 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 216726048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398623680).

216726048 is an abundant number, since it is smaller than the sum of its proper divisors (580521312).

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

216726048 is a wasteful number, since it uses less digits than its factorization.

216726048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 216726048 is about 14721.6183892940. The cubic root of 216726048 is about 600.6715148327.

The spelling of 216726048 in words is "two hundred sixteen million, seven hundred twenty-six thousand, forty-eight".