823216680 has 192 divisors, whose sum is σ = 3143387520. Its totient is φ = 184204800.

The previous prime is 823216661. The next prime is 823216699. The reversal of 823216680 is 86612328.

It is an interprime number because it is at equal distance from previous prime (823216661) and next prime (823216699).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43485 + ... + 59475.

It is an arithmetic number, because the mean of its divisors is an integer number (16371810).

Almost surely, 2^823216680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823216680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571693760).

823216680 is an abundant number, since it is smaller than the sum of its proper divisors (2320170840).

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

823216680 is a wasteful number, since it uses less digits than its factorization.

823216680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16032 (or 16025 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 823216680 is about 28691.7528220219. The cubic root of 823216680 is about 937.2124600845.

The spelling of 823216680 in words is "eight hundred twenty-three million, two hundred sixteen thousand, six hundred eighty".