825891948 has 144 divisors (see below), whose sum is σ = 2477477184. Its totient is φ = 227059200.

The previous prime is 825891931. The next prime is 825891953. The reversal of 825891948 is 849198528.

825891948 is a `hidden beast` number, since 8 + 2 + 589 + 19 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 825891894 and 825891903.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 941286 + ... + 942162.

Almost surely, 2^825891948 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 825891948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238738592).

825891948 is an abundant number, since it is smaller than the sum of its proper divisors (1651585236).

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

825891948 is a wasteful number, since it uses less digits than its factorization.

825891948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1027 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The square root of 825891948 is about 28738.3358599624. The cubic root of 825891948 is about 938.2266051292.

The spelling of 825891948 in words is "eight hundred twenty-five million, eight hundred ninety-one thousand, nine hundred forty-eight".