216475520 has 64 divisors (see below), whose sum is σ = 519404400. Its totient is φ = 86274048.

The previous prime is 216475499. The next prime is 216475547. The reversal of 216475520 is 25574612.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261347 + ... + 262173.

Almost surely, 2^216475520 is an apocalyptic number.

216475520 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 216475520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259702200).

216475520 is an abundant number, since it is smaller than the sum of its proper divisors (302928880).

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

216475520 is an equidigital number, since it uses as much as digits as its factorization.

216475520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 216475520 is about 14713.1070817826. The cubic root of 216475520 is about 600.4399735895.

The spelling of 216475520 in words is "two hundred sixteen million, four hundred seventy-five thousand, five hundred twenty".