361320960 has 640 divisors, whose sum is σ = 1583898624. Its totient is φ = 67829760.

The previous prime is 361320943. The next prime is 361320983. The reversal of 361320960 is 69023163.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×361320960² = 261105672270643200, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 7687657 + ... + 7687703.

Almost surely, 2^361320960 is an apocalyptic number.

361320960 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 361320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791949312).

361320960 is an abundant number, since it is smaller than the sum of its proper divisors (1222577664).

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

361320960 is a wasteful number, since it uses less digits than its factorization.

361320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 361320960 is about 19008.4444392486. Note that the first 4 decimals coincide. The cubic root of 361320960 is about 712.2476939835.

The spelling of 361320960 in words is "three hundred sixty-one million, three hundred twenty thousand, nine hundred sixty".