361104960 has 112 divisors (see below), whose sum is σ = 1150315200. Its totient is φ = 95975424.

The previous prime is 361104959. The next prime is 361104983. The reversal of 361104960 is 69401163.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 488271 + ... + 489009.

Almost surely, 2^361104960 is an apocalyptic number.

361104960 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 361104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575157600).

361104960 is an abundant number, since it is smaller than the sum of its proper divisors (789210240).

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

361104960 is a wasteful number, since it uses less digits than its factorization.

361104960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 361104960 is about 19002.7619045232. The cubic root of 361104960 is about 712.1057369372.

The spelling of 361104960 in words is "three hundred sixty-one million, one hundred four thousand, nine hundred sixty".