35825920 has 72 divisors (see below), whose sum is σ = 92458296. Its totient is φ = 13221888.

The previous prime is 35825917. The next prime is 35825939. The reversal of 35825920 is 2952853.

It can be written as a sum of positive squares in 4 ways, for example, as 589824 + 35236096 = 768^2 + 5936^2 .

It is a super-3 number, since 3×35825920³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15564 + ... + 17716.

It is an arithmetic number, because the mean of its divisors is an integer number (1284143).

Almost surely, 2^35825920 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 35825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46229148).

35825920 is an abundant number, since it is smaller than the sum of its proper divisors (56632376).

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

35825920 is a wasteful number, since it uses less digits than its factorization.

35825920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 35825920 is about 5985.4757538562. The cubic root of 35825920 is about 329.6596429597.

The spelling of 35825920 in words is "thirty-five million, eight hundred twenty-five thousand, nine hundred twenty".