185064672 has 96 divisors (see below), whose sum is σ = 526109472. Its totient is φ = 56623104.

The previous prime is 185064661. The next prime is 185064673. The reversal of 185064672 is 276460581.

185064672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 185064672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (185064673) 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, 320448 + ... + 321024.

It is an arithmetic number, because the mean of its divisors is an integer number (5480307).

Almost surely, 2^185064672 is an apocalyptic number.

185064672 is a gapful number since it is divisible by the number (12) 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 185064672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263054736).

185064672 is an abundant number, since it is smaller than the sum of its proper divisors (341044800).

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

185064672 is a wasteful number, since it uses less digits than its factorization.

185064672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 185064672 is about 13603.8476910027. The cubic root of 185064672 is about 569.8683106056.

The spelling of 185064672 in words is "one hundred eighty-five million, sixty-four thousand, six hundred seventy-two".