216264048 has 240 divisors, whose sum is σ = 764701056. Its totient is φ = 51770880.

The previous prime is 216264043. The next prime is 216264073. The reversal of 216264048 is 840462612.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216264043) 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, 336015 + ... + 336657.

Almost surely, 2^216264048 is an apocalyptic number.

216264048 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 216264048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382350528).

216264048 is an abundant number, since it is smaller than the sum of its proper divisors (548437008).

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

216264048 is a wasteful number, since it uses less digits than its factorization.

216264048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 216264048 is about 14705.9188084254. The cubic root of 216264048 is about 600.2443893318.

The spelling of 216264048 in words is "two hundred sixteen million, two hundred sixty-four thousand, forty-eight".