361012608 has 192 divisors, whose sum is σ = 1171123200. Its totient is φ = 105753600.

The previous prime is 361012591. The next prime is 361012609. The reversal of 361012608 is 806210163.

361012608 is a `hidden beast` number, since 36 + 10 + 12 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361012609) 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 23 ways as a sum of consecutive naturals, for example, 392373 + ... + 393291.

It is an arithmetic number, because the mean of its divisors is an integer number (6099600).

Almost surely, 2^361012608 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 361012608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585561600).

361012608 is an abundant number, since it is smaller than the sum of its proper divisors (810110592).

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

361012608 is a wasteful number, since it uses less digits than its factorization.

361012608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 361012608 is about 19000.3317865768. The cubic root of 361012608 is about 712.0450251373.

The spelling of 361012608 in words is "three hundred sixty-one million, twelve thousand, six hundred eight".