825689040 has 320 divisors, whose sum is σ = 2931240960. Its totient is φ = 190494720.

The previous prime is 825689017. The next prime is 825689047. The reversal of 825689040 is 40986528.

It is a super-2 number, since 2×825689040² = 1363524781552243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 825688983 and 825689001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825689047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7716667 + ... + 7716773.

It is an arithmetic number, because the mean of its divisors is an integer number (9160128).

Almost surely, 2^825689040 is an apocalyptic number.

825689040 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 825689040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465620480).

825689040 is an abundant number, since it is smaller than the sum of its proper divisors (2105551920).

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

825689040 is a wasteful number, since it uses less digits than its factorization.

825689040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 825689040 is about 28734.8053760592. The cubic root of 825689040 is about 938.1497632464.

The spelling of 825689040 in words is "eight hundred twenty-five million, six hundred eighty-nine thousand, forty".