826672392 has 192 divisors, whose sum is σ = 2858244480. Its totient is φ = 217976832.

The previous prime is 826672361. The next prime is 826672393. The reversal of 826672392 is 293276628.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (826672393) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174568 + ... + 179240.

It is an arithmetic number, because the mean of its divisors is an integer number (14886690).

Almost surely, 2^826672392 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 826672392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429122240).

826672392 is an abundant number, since it is smaller than the sum of its proper divisors (2031572088).

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

826672392 is a wasteful number, since it uses less digits than its factorization.

826672392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4714 (or 4698 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 826672392 is about 28751.9111016990. The cubic root of 826672392 is about 938.5220444220.

The spelling of 826672392 in words is "eight hundred twenty-six million, six hundred seventy-two thousand, three hundred ninety-two".