361042164 has 96 divisors (see below), whose sum is σ = 1087430400. Its totient is φ = 101450880.

The previous prime is 361042153. The next prime is 361042169. The reversal of 361042164 is 461240163.

361042164 is a `hidden beast` number, since 3 + 610 + 42 + 1 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361042169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42202 + ... + 50030.

It is an arithmetic number, because the mean of its divisors is an integer number (11327400).

Almost surely, 2^361042164 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 361042164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543715200).

361042164 is an abundant number, since it is smaller than the sum of its proper divisors (726388236).

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

361042164 is a wasteful number, since it uses less digits than its factorization.

361042164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7910 (or 7902 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 361042164 is about 19001.1095465502. The cubic root of 361042164 is about 712.0644562486.

The spelling of 361042164 in words is "three hundred sixty-one million, forty-two thousand, one hundred sixty-four".