825643624 has 64 divisors (see below), whose sum is σ = 1770809040. Its totient is φ = 357519360.

The previous prime is 825643603. The next prime is 825643657. The reversal of 825643624 is 426346528.

It can be written as a sum of positive squares in 8 ways, for example, as 61121124 + 764522500 = 7818^2 + 27650^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 814542 + ... + 815554.

Almost surely, 2^825643624 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 825643624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885404520).

825643624 is an abundant number, since it is smaller than the sum of its proper divisors (945165416).

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

825643624 is a wasteful number, since it uses less digits than its factorization.

825643624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1506 counting only the distinct ones).

The product of its digits is 276480, while the sum is 40.

The square root of 825643624 is about 28734.0151040539. The cubic root of 825643624 is about 938.1325623436.

The spelling of 825643624 in words is "eight hundred twenty-five million, six hundred forty-three thousand, six hundred twenty-four".