180948864 has 64 divisors (see below), whose sum is σ = 497250000. Its totient is φ = 58232832.

The previous prime is 180948863. The next prime is 180948871. The reversal of 180948864 is 468849081.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180948863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3012 + ... + 19260.

Almost surely, 2^180948864 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 180948864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248625000).

180948864 is an abundant number, since it is smaller than the sum of its proper divisors (316301136).

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

180948864 is a wasteful number, since it uses less digits than its factorization.

180948864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16295 (or 16283 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 180948864 is about 13451.7234583528. The cubic root of 180948864 is about 565.6120071047.

The spelling of 180948864 in words is "one hundred eighty million, nine hundred forty-eight thousand, eight hundred sixty-four".