512088 has 32 divisors (see below), whose sum is σ = 1348800. Its totient is φ = 161568.

The previous prime is 512059. The next prime is 512093. The reversal of 512088 is 880215.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106 + ... + 1017.

It is an arithmetic number, because the mean of its divisors is an integer number (42150).

2⁵¹²⁰⁸⁸ 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 512088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674400).

512088 is an abundant number, since it is smaller than the sum of its proper divisors (836712).

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

512088 is a wasteful number, since it uses less digits than its factorization.

512088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 512088 is about 715.6032420273. The cubic root of 512088 is about 80.0045830708.

The spelling of 512088 in words is "five hundred twelve thousand, eighty-eight".