823696128 has 108 divisors (see below), whose sum is σ = 2463064968. Its totient is φ = 274544640.

The previous prime is 823696127. The next prime is 823696147. The reversal of 823696128 is 821696328.

823696128 is a `hidden beast` number, since 8 + 23 + 6 + 9 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×823696128² = 1356950622564384768, which contains 22 as substring.

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 (823696127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55588 + ... + 68828.

Almost surely, 2^823696128 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 823696128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231532484).

823696128 is an abundant number, since it is smaller than the sum of its proper divisors (1639368840).

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

823696128 is an equidigital number, since it uses as much as digits as its factorization.

823696128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13272 (or 13246 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 823696128 is about 28700.1067593833. The cubic root of 823696128 is about 937.3943714592.

The spelling of 823696128 in words is "eight hundred twenty-three million, six hundred ninety-six thousand, one hundred twenty-eight".