825063840 has 192 divisors, whose sum is σ = 2901467520. Its totient is φ = 218972160.

The previous prime is 825063793. The next prime is 825063893. The reversal of 825063840 is 48360528.

825063840 is a `hidden beast` number, since 82 + 506 + 38 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 825063795 and 825063804.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1429632 + ... + 1430208.

It is an arithmetic number, because the mean of its divisors is an integer number (15111810).

Almost surely, 2^825063840 is an apocalyptic number.

825063840 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 825063840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450733760).

825063840 is an abundant number, since it is smaller than the sum of its proper divisors (2076403680).

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

825063840 is a wasteful number, since it uses less digits than its factorization.

825063840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 825063840 is about 28723.9245229478. The cubic root of 825063840 is about 937.9129189045.

The spelling of 825063840 in words is "eight hundred twenty-five million, sixty-three thousand, eight hundred forty".