825998040 has 256 divisors, whose sum is σ = 3332275200. Its totient is φ = 177666048.

The previous prime is 825998029. The next prime is 825998059. The reversal of 825998040 is 40899528.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125307 + ... + 131733.

It is an arithmetic number, because the mean of its divisors is an integer number (13016700).

Almost surely, 2^825998040 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 825998040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666137600).

825998040 is an abundant number, since it is smaller than the sum of its proper divisors (2506277160).

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

825998040 is a wasteful number, since it uses less digits than its factorization.

825998040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6471 (or 6461 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 825998040 is about 28740.1816278186. The cubic root of 825998040 is about 938.2667774848.

The spelling of 825998040 in words is "eight hundred twenty-five million, nine hundred ninety-eight thousand, forty".