181520416 has 96 divisors (see below), whose sum is σ = 465067008. Its totient is φ = 67626240.

The previous prime is 181520411. The next prime is 181520431. The reversal of 181520416 is 614025181.

It is a super-2 number, since 2×181520416² = 65899322849626112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (181520411) 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, 55071 + ... + 58273.

It is an arithmetic number, because the mean of its divisors is an integer number (4844448).

Almost surely, 2^181520416 is an apocalyptic number.

181520416 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 181520416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232533504).

181520416 is an abundant number, since it is smaller than the sum of its proper divisors (283546592).

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

181520416 is a wasteful number, since it uses less digits than its factorization.

181520416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3254 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 181520416 is about 13472.9512728281. The cubic root of 181520416 is about 566.2069024274.

Adding to 181520416 its reverse (614025181), we get a palindrome (795545597).

The spelling of 181520416 in words is "one hundred eighty-one million, five hundred twenty thousand, four hundred sixteen".