825544632 has 128 divisors (see below), whose sum is σ = 2343168000. Its totient is φ = 240115200.

The previous prime is 825544631. The next prime is 825544637. The reversal of 825544632 is 236445528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825544631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1219078 + ... + 1219754.

It is an arithmetic number, because the mean of its divisors is an integer number (18306000).

Almost surely, 2^825544632 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 825544632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171584000).

825544632 is an abundant number, since it is smaller than the sum of its proper divisors (1517623368).

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

825544632 is a wasteful number, since it uses less digits than its factorization.

825544632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 873 counting only the distinct ones).

The product of its digits is 230400, while the sum is 39.

The square root of 825544632 is about 28732.2924946827. The cubic root of 825544632 is about 938.0950678251.

The spelling of 825544632 in words is "eight hundred twenty-five million, five hundred forty-four thousand, six hundred thirty-two".