185472768 has 108 divisors (see below), whose sum is σ = 534894360. Its totient is φ = 57028608.

The previous prime is 185472761. The next prime is 185472799. The reversal of 185472768 is 867274581.

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 (185472761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129078 + ... + 130506.

Almost surely, 2^185472768 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 185472768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267447180).

185472768 is an abundant number, since it is smaller than the sum of its proper divisors (349421592).

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

185472768 is a wasteful number, since it uses less digits than its factorization.

185472768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1447 counting only the distinct ones).

The product of its digits is 752640, while the sum is 48.

The square root of 185472768 is about 13618.8387170125. The cubic root of 185472768 is about 570.2868854394.

The spelling of 185472768 in words is "one hundred eighty-five million, four hundred seventy-two thousand, seven hundred sixty-eight".