216067824 has 240 divisors, whose sum is σ = 760451328. Its totient is φ = 57977856.

The previous prime is 216067823. The next prime is 216067837. The reversal of 216067824 is 428760612.

216067824 is a `hidden beast` number, since 21 + 606 + 7 + 8 + 24 = 666.

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 (216067823) 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, 462439 + ... + 462905.

Almost surely, 2^216067824 is an apocalyptic number.

216067824 is a gapful number since it is divisible by the number (24) 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 216067824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380225664).

216067824 is an abundant number, since it is smaller than the sum of its proper divisors (544383504).

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

216067824 is a wasteful number, since it uses less digits than its factorization.

216067824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 496 counting only the distinct ones).

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

The square root of 216067824 is about 14699.2456949328. The cubic root of 216067824 is about 600.0627934281.

The spelling of 216067824 in words is "two hundred sixteen million, sixty-seven thousand, eight hundred twenty-four".