361420160 has 128 divisors (see below), whose sum is σ = 924168960. Its totient is φ = 134830080.

The previous prime is 361420141. The next prime is 361420193. The reversal of 361420160 is 61024163.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 632675 + ... + 633245.

It is an arithmetic number, because the mean of its divisors is an integer number (7220070).

Almost surely, 2^361420160 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 361420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462084480).

361420160 is an abundant number, since it is smaller than the sum of its proper divisors (562748800).

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

361420160 is a wasteful number, since it uses less digits than its factorization.

361420160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 361420160 is about 19011.0536267720. The cubic root of 361420160 is about 712.3128701140.

The spelling of 361420160 in words is "three hundred sixty-one million, four hundred twenty thousand, one hundred sixty".