526641120 has 144 divisors (see below), whose sum is σ = 1875418272. Its totient is φ = 134323200.

The previous prime is 526641119. The next prime is 526641127. The reversal of 526641120 is 21146625.

526641120 is a `hidden beast` number, since 5 + 2 + 6 + 641 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (526641127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25170 + ... + 41070.

It is an arithmetic number, because the mean of its divisors is an integer number (13023738).

Almost surely, 2^526641120 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 526641120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937709136).

526641120 is an abundant number, since it is smaller than the sum of its proper divisors (1348777152).

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

526641120 is a wasteful number, since it uses less digits than its factorization.

526641120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15945 (or 15934 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 526641120 is about 22948.6627061361. The cubic root of 526641120 is about 807.5540296194.

Adding to 526641120 its reverse (21146625), we get a palindrome (547787745).

The spelling of 526641120 in words is "five hundred twenty-six million, six hundred forty-one thousand, one hundred twenty".