532141680 has 160 divisors (see below), whose sum is σ = 1907020800. Its totient is φ = 120231936.

The previous prime is 532141679. The next prime is 532141681. The reversal of 532141680 is 86141235.

It is an interprime number because it is at equal distance from previous prime (532141679) and next prime (532141681).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532141681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147741 + ... + 151299.

It is an arithmetic number, because the mean of its divisors is an integer number (11918880).

Almost surely, 2^532141680 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 532141680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953510400).

532141680 is an abundant number, since it is smaller than the sum of its proper divisors (1374879120).

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

532141680 is a wasteful number, since it uses less digits than its factorization.

532141680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3671 (or 3665 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 532141680 is about 23068.1962883967. The cubic root of 532141680 is about 810.3558259856.

The spelling of 532141680 in words is "five hundred thirty-two million, one hundred forty-one thousand, six hundred eighty".