361365120 has 192 divisors, whose sum is σ = 1277733600. Its totient is φ = 94058496.

The previous prime is 361365119. The next prime is 361365127. The reversal of 361365120 is 21563163.

361365120 is a `hidden beast` number, since 3 + 6 + 1 + 3 + 651 + 2 + 0 = 666.

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

It is a super-2 number, since 2×361365120² = 261169499905228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (361365127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246951 + ... + 248409.

Almost surely, 2^361365120 is an apocalyptic number.

361365120 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 361365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638866800).

361365120 is an abundant number, since it is smaller than the sum of its proper divisors (916368480).

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

361365120 is a wasteful number, since it uses less digits than its factorization.

361365120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 361365120 is about 19009.6059927606. The cubic root of 361365120 is about 712.2767093469.

The spelling of 361365120 in words is "three hundred sixty-one million, three hundred sixty-five thousand, one hundred twenty".