180061536 has 96 divisors (see below), whose sum is σ = 489984768. Its totient is φ = 57853440.

The previous prime is 180061523. The next prime is 180061579. The reversal of 180061536 is 635160081.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 578821 + ... + 579131.

It is an arithmetic number, because the mean of its divisors is an integer number (5104008).

Almost surely, 2^180061536 is an apocalyptic number.

180061536 is a gapful number since it is divisible by the number (16) 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 180061536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244992384).

180061536 is an abundant number, since it is smaller than the sum of its proper divisors (309923232).

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

180061536 is a wasteful number, since it uses less digits than its factorization.

180061536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 180061536 is about 13418.7009803483. The cubic root of 180061536 is about 564.6859517680.

It can be divided in two parts, 1800 and 61536, that added together give a palindrome (63336).

The spelling of 180061536 in words is "one hundred eighty million, sixty-one thousand, five hundred thirty-six".