825072620 has 48 divisors (see below), whose sum is σ = 1840890240. Its totient is φ = 310028544.

The previous prime is 825072617. The next prime is 825072623. The reversal of 825072620 is 26270528.

It is an interprime number because it is at equal distance from previous prime (825072617) and next prime (825072623).

It is not an unprimeable number, because it can be changed into a prime (825072623) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2237 + ... + 40683.

It is an arithmetic number, because the mean of its divisors is an integer number (38351880).

Almost surely, 2^825072620 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 825072620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920445120).

825072620 is an abundant number, since it is smaller than the sum of its proper divisors (1015817620).

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

825072620 is a wasteful number, since it uses less digits than its factorization.

825072620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38522 (or 38520 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 825072620 is about 28724.0773568099. The cubic root of 825072620 is about 937.9162458576.

The spelling of 825072620 in words is "eight hundred twenty-five million, seventy-two thousand, six hundred twenty".