526947520 has 112 divisors (see below), whose sum is σ = 1441094400. Its totient is φ = 181509120.

The previous prime is 526947497. The next prime is 526947593. The reversal of 526947520 is 25749625.

526947520 = 3980² + 3981² + ... + 4012².

It is a Harshad number since it is a multiple of its sum of digits (40).

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 15 ways as a sum of consecutive naturals, for example, 62941 + ... + 70819.

Almost surely, 2^526947520 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 526947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720547200).

526947520 is an abundant number, since it is smaller than the sum of its proper divisors (914146880).

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

526947520 is a wasteful number, since it uses less digits than its factorization.

526947520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7926 (or 7916 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 526947520 is about 22955.3375056870. The cubic root of 526947520 is about 807.7106110022.

The spelling of 526947520 in words is "five hundred twenty-six million, nine hundred forty-seven thousand, five hundred twenty".