216012480 has 112 divisors (see below), whose sum is σ = 694358784. Its totient is φ = 56888320.

The previous prime is 216012479. The next prime is 216012487. The reversal of 216012480 is 84210612.

It is a super-2 number, since 2×216012480² = 93322783031500800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 216012480.

It is not an unprimeable number, because it can be changed into a prime (216012487) 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, 78325 + ... + 81035.

It is an arithmetic number, because the mean of its divisors is an integer number (6199632).

Almost surely, 2^216012480 is an apocalyptic number.

216012480 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 216012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347179392).

216012480 is an abundant number, since it is smaller than the sum of its proper divisors (478346304).

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

216012480 is a wasteful number, since it uses less digits than its factorization.

216012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2814 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 216012480 is about 14697.3630287885. The cubic root of 216012480 is about 600.0115553330.

The spelling of 216012480 in words is "two hundred sixteen million, twelve thousand, four hundred eighty".