361824960 has 224 divisors, whose sum is σ = 1370575872. Its totient is φ = 79073280.

The previous prime is 361824943. The next prime is 361824979. The reversal of 361824960 is 69428163.

It is a tau number, because it is divible by the number of its divisors (224).

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, 153390 + ... + 155730.

Almost surely, 2^361824960 is an apocalyptic number.

361824960 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 361824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685287936).

361824960 is an abundant number, since it is smaller than the sum of its proper divisors (1008750912).

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

361824960 is a wasteful number, since it uses less digits than its factorization.

361824960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 361824960 is about 19021.6970851709. The cubic root of 361824960 is about 712.5787072178.

The spelling of 361824960 in words is "three hundred sixty-one million, eight hundred twenty-four thousand, nine hundred sixty".