216048924 has 288 divisors, whose sum is σ = 737856000. Its totient is φ = 53374464.

The previous prime is 216048907. The next prime is 216048941. The reversal of 216048924 is 429840612.

216048924 is a `hidden beast` number, since 21 + 604 + 8 + 9 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (216048907) and next prime (216048941).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2427472 + ... + 2427560.

It is an arithmetic number, because the mean of its divisors is an integer number (2562000).

Almost surely, 2^216048924 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216048924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368928000).

216048924 is an abundant number, since it is smaller than the sum of its proper divisors (521807076).

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

216048924 is a wasteful number, since it uses less digits than its factorization.

216048924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 216048924 is about 14698.6027907417. The cubic root of 216048924 is about 600.0452965803.

The spelling of 216048924 in words is "two hundred sixteen million, forty-eight thousand, nine hundred twenty-four".