362066544 has 160 divisors (see below), whose sum is σ = 1257776640. Its totient is φ = 97348608.

The previous prime is 362066543. The next prime is 362066557. The reversal of 362066544 is 445660263.

362066544 is a `hidden beast` number, since 36 + 20 + 66 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 362066499 and 362066508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (362066543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47887 + ... + 54929.

It is an arithmetic number, because the mean of its divisors is an integer number (7861104).

Almost surely, 2^362066544 is an apocalyptic number.

362066544 is a gapful number since it is divisible by the number (34) 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 362066544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628888320).

362066544 is an abundant number, since it is smaller than the sum of its proper divisors (895710096).

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

362066544 is a wasteful number, since it uses less digits than its factorization.

362066544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7084 (or 7072 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 362066544 is about 19028.0462475789. The cubic root of 362066544 is about 712.7372639182.

The spelling of 362066544 in words is "three hundred sixty-two million, sixty-six thousand, five hundred forty-four".