361566720 has 160 divisors (see below), whose sum is σ = 1284560640. Its totient is φ = 96399360.

The previous prime is 361566649. The next prime is 361566731. The reversal of 361566720 is 27665163.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 66505 + ... + 71735.

It is an arithmetic number, because the mean of its divisors is an integer number (8028504).

Almost surely, 2^361566720 is an apocalyptic number.

361566720 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 361566720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642280320).

361566720 is an abundant number, since it is smaller than the sum of its proper divisors (922993920).

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

361566720 is an equidigital number, since it uses as much as digits as its factorization.

361566720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5263 (or 5241 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 361566720 is about 19014.9078356957. The cubic root of 361566720 is about 712.4091407685.

The spelling of 361566720 in words is "three hundred sixty-one million, five hundred sixty-six thousand, seven hundred twenty".