823690000 has 225 divisors, whose sum is σ = 2377786521. Its totient is φ = 275520000.

The previous prime is 823689943. The next prime is 823690061. The reversal of 823690000 is 96328.

The square root of 823690000 is 28700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 820478736 + 3211264 = 28644^2 + 1792^2 .

It is a super-2 number, since 2×823690000² = 1356930432200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 20089980 + ... + 20090020.

Almost surely, 2^823690000 is an apocalyptic number.

823690000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

823690000 is the 28700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823690000

823690000 is an abundant number, since it is smaller than the sum of its proper divisors (1554096521).

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

823690000 is an equidigital number, since it uses as much as digits as its factorization.

823690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The cubic root of 823690000 is about 937.3920468289.

The spelling of 823690000 in words is "eight hundred twenty-three million, six hundred ninety thousand".