361560120 has 128 divisors (see below), whose sum is σ = 1147564800. Its totient is φ = 90878976.

The previous prime is 361560119. The next prime is 361560137. The reversal of 361560120 is 21065163.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 790932 + ... + 791388.

It is an arithmetic number, because the mean of its divisors is an integer number (8965350).

Almost surely, 2^361560120 is an apocalyptic number.

361560120 is a gapful number since it is divisible by the number (30) 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 361560120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573782400).

361560120 is an abundant number, since it is smaller than the sum of its proper divisors (786004680).

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

361560120 is a wasteful number, since it uses less digits than its factorization.

361560120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 361560120 is about 19014.7342868629. The cubic root of 361560120 is about 712.4048059956.

The spelling of 361560120 in words is "three hundred sixty-one million, five hundred sixty thousand, one hundred twenty".