361789560 has 192 divisors, whose sum is σ = 1296622080. Its totient is φ = 86757120.

The previous prime is 361789559. The next prime is 361789567. The reversal of 361789560 is 65987163.

It is a happy number.

361789560 is a `hidden beast` number, since 3 + 6 + 1 + 7 + 89 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361789567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 407437 + ... + 408323.

It is an arithmetic number, because the mean of its divisors is an integer number (6753240).

Almost surely, 2^361789560 is an apocalyptic number.

361789560 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 361789560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648311040).

361789560 is an abundant number, since it is smaller than the sum of its proper divisors (934832520).

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

361789560 is a wasteful number, since it uses less digits than its factorization.

361789560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 361789560 is about 19020.7665460675. The cubic root of 361789560 is about 712.5554675193. Note that the first 3 decimals are identical.

The spelling of 361789560 in words is "three hundred sixty-one million, seven hundred eighty-nine thousand, five hundred sixty".