526973664 has 192 divisors, whose sum is σ = 1681344000. Its totient is φ = 141170688.

The previous prime is 526973659. The next prime is 526973719. The reversal of 526973664 is 466379625.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1902294 + ... + 1902570.

It is an arithmetic number, because the mean of its divisors is an integer number (8757000).

Almost surely, 2^526973664 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 526973664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840672000).

526973664 is an abundant number, since it is smaller than the sum of its proper divisors (1154370336).

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

526973664 is a wasteful number, since it uses less digits than its factorization.

526973664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 457 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 48.

The square root of 526973664 is about 22955.9069522422. The cubic root of 526973664 is about 807.7239687125.

The spelling of 526973664 in words is "five hundred twenty-six million, nine hundred seventy-three thousand, six hundred sixty-four".