826663680 has 216 divisors, whose sum is σ = 2902300128. Its totient is φ = 217202688.

The previous prime is 826663679. The next prime is 826663687. The reversal of 826663680 is 86366628.

It is a super-2 number, since 2×826663680² = 1366745679662284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (826663687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 840469 + ... + 841451.

Almost surely, 2^826663680 is an apocalyptic number.

826663680 is a gapful number since it is divisible by the number (80) 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 826663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451150064).

826663680 is an abundant number, since it is smaller than the sum of its proper divisors (2075636448).

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

826663680 is a wasteful number, since it uses less digits than its factorization.

826663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 826663680 is about 28751.7595983272. The cubic root of 826663680 is about 938.5187474961.

The spelling of 826663680 in words is "eight hundred twenty-six million, six hundred sixty-three thousand, six hundred eighty".