825385140 has 120 divisors (see below), whose sum is σ = 2597186592. Its totient is φ = 219430080.

The previous prime is 825385103. The next prime is 825385181. The reversal of 825385140 is 41583528.

It is a happy number.

825385140 is a `hidden beast` number, since 82 + 538 + 5 + 1 + 40 = 666.

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 = 825385095 and 825385104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 755995 + ... + 757085.

Almost surely, 2^825385140 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 825385140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298593296).

825385140 is an abundant number, since it is smaller than the sum of its proper divisors (1771801452).

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

825385140 is a wasteful number, since it uses less digits than its factorization.

825385140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 825385140 is about 28729.5168772466. The cubic root of 825385140 is about 938.0346518326.

It can be divided in two parts, 82538 and 5140, that added together give a palindrome (87678).

The spelling of 825385140 in words is "eight hundred twenty-five million, three hundred eighty-five thousand, one hundred forty".