361063360 has 84 divisors (see below), whose sum is σ = 1000198152. Its totient is φ = 123787776.

The previous prime is 361063337. The next prime is 361063387. The reversal of 361063360 is 63360163.

361063360 = 301² + 302² + ... + 1035².

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4167 + ... + 27193.

Almost surely, 2^361063360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361063360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500099076).

361063360 is an abundant number, since it is smaller than the sum of its proper divisors (639134792).

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

361063360 is a wasteful number, since it uses less digits than its factorization.

361063360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23058 (or 23041 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

The square root of 361063360 is about 19001.6672952665. The cubic root of 361063360 is about 712.0783905610.

The spelling of 361063360 in words is "three hundred sixty-one million, sixty-three thousand, three hundred sixty".