526970880 has 208 divisors, whose sum is σ = 1875411360. Its totient is φ = 140378112.

The previous prime is 526970839. The next prime is 526970881. The reversal of 526970880 is 88079625.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (526970881) 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, 552484 + ... + 553436.

Almost surely, 2^526970880 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 526970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937705680).

526970880 is an abundant number, since it is smaller than the sum of its proper divisors (1348440480).

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

526970880 is an equidigital number, since it uses as much as digits as its factorization.

526970880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 526970880 is about 22955.8463141745. The cubic root of 526970880 is about 807.7225463090.

The spelling of 526970880 in words is "five hundred twenty-six million, nine hundred seventy thousand, eight hundred eighty".