526988 has 48 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 194880.

The previous prime is 526963. The next prime is 526993. The reversal of 526988 is 889625.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

Its product of digits (34560) is a multiple of the sum of its prime divisors (108).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 526988.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8903 + ... + 8961.

It is an arithmetic number, because the mean of its divisors is an integer number (25200).

2⁵²⁶⁹⁸⁸ is an apocalyptic number.

526988 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 526988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

526988 is an abundant number, since it is smaller than the sum of its proper divisors (682612).

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

526988 is a wasteful number, since it uses less digits than its factorization.

526988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 108 counting only the distinct ones).

The product of its digits is 34560, while the sum is 38.

The square root of 526988 is about 725.9393914095. The cubic root of 526988 is about 80.7731293194.

It can be divided in two parts, 5 and 26988, that multiplied together give a triangular number (134940 = T₅₁₉).

The spelling of 526988 in words is "five hundred twenty-six thousand, nine hundred eighty-eight".