181264840 has 64 divisors (see below), whose sum is σ = 431568000. Its totient is φ = 68378112.

The previous prime is 181264793. The next prime is 181264841. The reversal of 181264840 is 48462181.

181264840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 181264796 and 181264805.

It is not an unprimeable number, because it can be changed into a prime (181264841) 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, 65811 + ... + 68509.

It is an arithmetic number, because the mean of its divisors is an integer number (6743250).

Almost surely, 2^181264840 is an apocalyptic number.

181264840 is a gapful number since it is divisible by the number (10) 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 181264840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215784000).

181264840 is an abundant number, since it is smaller than the sum of its proper divisors (250303160).

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

181264840 is a wasteful number, since it uses less digits than its factorization.

181264840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 181264840 is about 13463.4631503191. The cubic root of 181264840 is about 565.9410427754.

The spelling of 181264840 in words is "one hundred eighty-one million, two hundred sixty-four thousand, eight hundred forty".