216906480 has 120 divisors (see below), whose sum is σ = 832527072. Its totient is φ = 49577472.

The previous prime is 216906463. The next prime is 216906499. The reversal of 216906480 is 84609612.

216906480 is a `hidden beast` number, since 2 + 1 + 6 + 9 + 0 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×216906480³ (a number of 26 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16479 + ... + 26558.

Almost surely, 2^216906480 is an apocalyptic number.

216906480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216906480 is an abundant number, since it is smaller than the sum of its proper divisors (615620592).

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

216906480 is a wasteful number, since it uses less digits than its factorization.

216906480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43063 (or 43054 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 216906480 is about 14727.7452449450. The cubic root of 216906480 is about 600.8381619291.

The spelling of 216906480 in words is "two hundred sixteen million, nine hundred six thousand, four hundred eighty".