526681064 has 192 divisors, whose sum is σ = 1343952000. Its totient is φ = 188697600.

The previous prime is 526681049. The next prime is 526681069. The reversal of 526681064 is 460186625.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (526681069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5214614 + ... + 5214714.

It is an arithmetic number, because the mean of its divisors is an integer number (6999750).

Almost surely, 2^526681064 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 526681064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671976000).

526681064 is an abundant number, since it is smaller than the sum of its proper divisors (817270936).

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

526681064 is a wasteful number, since it uses less digits than its factorization.

526681064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 526681064 is about 22949.5329799977. The cubic root of 526681064 is about 807.5744458772.

The spelling of 526681064 in words is "five hundred twenty-six million, six hundred eighty-one thousand, sixty-four".