825349320 has 144 divisors (see below), whose sum is σ = 2849813460. Its totient is φ = 207120384.

The previous prime is 825349279. The next prime is 825349333. The reversal of 825349320 is 23943528.

It can be written as a sum of positive squares in 6 ways, for example, as 505440324 + 319908996 = 22482^2 + 17886^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 100074 + ... + 108006.

Almost surely, 2^825349320 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 825349320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424906730).

825349320 is an abundant number, since it is smaller than the sum of its proper divisors (2024464140).

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

825349320 is a wasteful number, since it uses less digits than its factorization.

825349320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7984 (or 7960 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 825349320 is about 28728.8934698154. The cubic root of 825349320 is about 938.0210820514.

The spelling of 825349320 in words is "eight hundred twenty-five million, three hundred forty-nine thousand, three hundred twenty".