823706240 has 128 divisors (see below), whose sum is σ = 2369174400. Its totient is φ = 267522048.

The previous prime is 823706189. The next prime is 823706243. The reversal of 823706240 is 42607328.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 823706197 and 823706206.

It is not an unprimeable number, because it can be changed into a prime (823706243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80282 + ... + 89958.

It is an arithmetic number, because the mean of its divisors is an integer number (18509175).

Almost surely, 2^823706240 is an apocalyptic number.

823706240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184587200).

823706240 is an abundant number, since it is smaller than the sum of its proper divisors (1545468160).

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

823706240 is a wasteful number, since it uses less digits than its factorization.

823706240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9722 (or 9710 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 823706240 is about 28700.2829254347. The cubic root of 823706240 is about 937.3982073775.

The spelling of 823706240 in words is "eight hundred twenty-three million, seven hundred six thousand, two hundred forty".