216763008 has 128 divisors (see below), whose sum is σ = 717949440. Its totient is φ = 56294400.

The previous prime is 216763003. The next prime is 216763021. The reversal of 216763008 is 800367612.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 216763008.

It is not an unprimeable number, because it can be changed into a prime (216763003) 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, 25903 + ... + 33233.

It is an arithmetic number, because the mean of its divisors is an integer number (5608980).

Almost surely, 2^216763008 is an apocalyptic number.

216763008 is a gapful number since it is divisible by the number (28) 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 216763008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358974720).

216763008 is an abundant number, since it is smaller than the sum of its proper divisors (501186432).

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

216763008 is a wasteful number, since it uses less digits than its factorization.

216763008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7366 (or 7354 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 216763008 is about 14722.8736325488. The cubic root of 216763008 is about 600.7056586400.

The spelling of 216763008 in words is "two hundred sixteen million, seven hundred sixty-three thousand, eight".