526311648 has 96 divisors (see below), whose sum is σ = 1542885120. Its totient is φ = 174545280.

The previous prime is 526311641. The next prime is 526311649. The reversal of 526311648 is 846113625.

It is a happy number.

526311648 is a `hidden beast` number, since 5 + 2 + 6 + 3 + 1 + 1 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (526311641) 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, 180861 + ... + 183747.

It is an arithmetic number, because the mean of its divisors is an integer number (16071720).

Almost surely, 2^526311648 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 526311648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771442560).

526311648 is an abundant number, since it is smaller than the sum of its proper divisors (1016573472).

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

526311648 is a wasteful number, since it uses less digits than its factorization.

526311648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3117 (or 3103 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 526311648 is about 22941.4831255523. The cubic root of 526311648 is about 807.3855898382.

The spelling of 526311648 in words is "five hundred twenty-six million, three hundred eleven thousand, six hundred forty-eight".