181296864 has 216 divisors, whose sum is σ = 621817560. Its totient is φ = 49900032.

The previous prime is 181296853. The next prime is 181296877. The reversal of 181296864 is 468692181.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 409027 + ... + 409469.

It is an arithmetic number, because the mean of its divisors is an integer number (2878785).

Almost surely, 2^181296864 is an apocalyptic number.

181296864 is a gapful number since it is divisible by the number (14) 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 181296864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310908780).

181296864 is an abundant number, since it is smaller than the sum of its proper divisors (440520696).

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

181296864 is a wasteful number, since it uses less digits than its factorization.

181296864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 484 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 181296864 is about 13464.6523906115. The cubic root of 181296864 is about 565.9743690192.

The spelling of 181296864 in words is "one hundred eighty-one million, two hundred ninety-six thousand, eight hundred sixty-four".