826314516 has 36 divisors (see below), whose sum is σ = 2160767700. Its totient is φ = 265939968.

The previous prime is 826314481. The next prime is 826314523. The reversal of 826314516 is 615413628.

It is a happy number.

826314516 is a `hidden beast` number, since 8 + 2 + 631 + 4 + 5 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 550090116 + 276224400 = 23454^2 + 16620^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 394701 + ... + 396788.

It is an arithmetic number, because the mean of its divisors is an integer number (60021325).

Almost surely, 2^826314516 is an apocalyptic number.

It is an amenable number.

826314516 is an abundant number, since it is smaller than the sum of its proper divisors (1334453184).

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

826314516 is a wasteful number, since it uses less digits than its factorization.

826314516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791528 (or 791523 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 826314516 is about 28745.6869112568. The cubic root of 826314516 is about 938.3865925396.

The spelling of 826314516 in words is "eight hundred twenty-six million, three hundred fourteen thousand, five hundred sixteen".