216763380 has 72 divisors (see below), whose sum is σ = 663396552. Its totient is φ = 57286656.

The previous prime is 216763373. The next prime is 216763399. The reversal of 216763380 is 83367612.

It is a happy number.

216763380 is a `hidden beast` number, since 2 + 16 + 7 + 633 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16597476 + 200165904 = 4074^2 + 14148^2 .

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, 15012 + ... + 25668.

It is an arithmetic number, because the mean of its divisors is an integer number (9213841).

Almost surely, 2^216763380 is an apocalyptic number.

216763380 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 216763380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331698276).

216763380 is an abundant number, since it is smaller than the sum of its proper divisors (446633172).

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

216763380 is a wasteful number, since it uses less digits than its factorization.

216763380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10785 (or 10780 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 216763380 is about 14722.8862659466. The cubic root of 216763380 is about 600.7060022755.

The spelling of 216763380 in words is "two hundred sixteen million, seven hundred sixty-three thousand, three hundred eighty".