216013824 has 176 divisors, whose sum is σ = 690084640. Its totient is φ = 66355200.

The previous prime is 216013823. The next prime is 216013873. The reversal of 216013824 is 428310612.

216013824 is a `hidden beast` number, since 2 + 1 + 601 + 38 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216013823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359124 + ... + 359724.

Almost surely, 2^216013824 is an apocalyptic number.

216013824 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 216013824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345042320).

216013824 is an abundant number, since it is smaller than the sum of its proper divisors (474070816).

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

216013824 is a wasteful number, since it uses less digits than its factorization.

216013824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 216013824 is about 14697.4087512051. The cubic root of 216013824 is about 600.0127997269.

It can be divided in two parts, 21601 and 3824, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 216013824 in words is "two hundred sixteen million, thirteen thousand, eight hundred twenty-four".