826366816 has 48 divisors (see below), whose sum is σ = 1851994368. Its totient is φ = 359286400.

The previous prime is 826366813. The next prime is 826366859. The reversal of 826366816 is 618663628.

It is a super-3 number, since 3×826366816³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826366813) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42940 + ... + 59131.

It is an arithmetic number, because the mean of its divisors is an integer number (38583216).

Almost surely, 2^826366816 is an apocalyptic number.

It is an amenable number.

826366816 is an abundant number, since it is smaller than the sum of its proper divisors (1025627552).

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

826366816 is a wasteful number, since it uses less digits than its factorization.

826366816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102115 (or 102107 counting only the distinct ones).

The product of its digits is 497664, while the sum is 46.

The square root of 826366816 is about 28746.5965985541. The cubic root of 826366816 is about 938.4063899180.

The spelling of 826366816 in words is "eight hundred twenty-six million, three hundred sixty-six thousand, eight hundred sixteen".