526849120 has 96 divisors (see below), whose sum is σ = 1436617728. Its totient is φ = 178841088.

The previous prime is 526849111. The next prime is 526849121. The reversal of 526849120 is 21948625.

It is a self number, because there is not a number n which added to its sum of digits gives 526849120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (526849121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113077 + ... + 117643.

It is an arithmetic number, because the mean of its divisors is an integer number (14964768).

Almost surely, 2^526849120 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 526849120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718308864).

526849120 is an abundant number, since it is smaller than the sum of its proper divisors (909768608).

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

526849120 is a wasteful number, since it uses less digits than its factorization.

526849120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4692 (or 4684 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 526849120 is about 22953.1941132384. The cubic root of 526849120 is about 807.6603316930.

The spelling of 526849120 in words is "five hundred twenty-six million, eight hundred forty-nine thousand, one hundred twenty".