216370560 has 256 divisors, whose sum is σ = 835453440. Its totient is φ = 46497792.

The previous prime is 216370529. The next prime is 216370573. The reversal of 216370560 is 65073612.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228007 + ... + 228953.

It is an arithmetic number, because the mean of its divisors is an integer number (3263490).

Almost surely, 2^216370560 is an apocalyptic number.

216370560 is a gapful number since it is divisible by the number (20) 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 216370560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417726720).

216370560 is an abundant number, since it is smaller than the sum of its proper divisors (619082880).

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

216370560 is a wasteful number, since it uses less digits than its factorization.

216370560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 216370560 is about 14709.5397616649. The cubic root of 216370560 is about 600.3429150892.

The spelling of 216370560 in words is "two hundred sixteen million, three hundred seventy thousand, five hundred sixty".